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104046120 = 23345171889
BaseRepresentation
bin1100011001110…
…01111000101000
321020210002110000
412030321320220
5203113433440
614154023000
72402243313
oct614717050
9236702400
10104046120
1153805432
122aa17a60
131872c369
14db6597a
159203730
hex6339e28

104046120 has 160 divisors (see below), whose sum is σ = 370477800. Its totient is φ = 26099712.

The previous prime is 104046031. The next prime is 104046127. The reversal of 104046120 is 21640401.

Added to its reverse (21640401) it gives a square (125686521 = 112112).

104046120 is a `hidden beast` number, since 10 + 40 + 4 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93431556 + 10614564 = 9666^2 + 3258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104046093 and 104046102.

It is not an unprimeable number, because it can be changed into a prime (104046127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54136 + ... + 56024.

Almost surely, 2104046120 is an apocalyptic number.

104046120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238900).

104046120 is an abundant number, since it is smaller than the sum of its proper divisors (266431680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104046120 is a wasteful number, since it uses less digits than its factorization.

104046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104046120 is about 10200.2999955884. The cubic root of 104046120 is about 470.3364423708.

Adding to 104046120 its reverse (21640401), we get a palindrome (125686521).

The spelling of 104046120 in words is "one hundred four million, forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 1889 2040 2295 2754 3060 3240 3672 3778 4590 5508 5667 6120 6885 7556 9180 9445 11016 11334 13770 15112 17001 18360 18890 22668 27540 28335 32113 34002 37780 45336 51003 55080 56670 64226 68004 75560 85005 96339 102006 113340 128452 136008 153009 160565 170010 192678 204012 226680 255015 256904 289017 306018 321130 340020 385356 408024 481695 510030 578034 612036 642260 680040 765045 770712 867051 963390 1020060 1156068 1224072 1284520 1445085 1530090 1734102 1926780 2040120 2312136 2601153 2890170 3060180 3468204 3853560 4335255 5202306 5780340 6120360 6936408 8670510 10404612 11560680 13005765 17341020 20809224 26011530 34682040 52023060 104046120