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104307120 = 24325277523
BaseRepresentation
bin1100011011110…
…01100110110000
321021021100110200
412031321212300
5203200311440
614203355200
72404411251
oct615714660
9237240420
10104307120
1153973535
122ab22b00
13187c10b8
14dbd2b28
159255c30
hex63799b0

104307120 has 120 divisors (see below), whose sum is σ = 352234896. Its totient is φ = 27661824.

The previous prime is 104307109. The next prime is 104307143. The reversal of 104307120 is 21703401.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 104307093 and 104307102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199179 + ... + 199701.

Almost surely, 2104307120 is an apocalyptic number.

104307120 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 104307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117448).

104307120 is an abundant number, since it is smaller than the sum of its proper divisors (247927776).

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

104307120 is a wasteful number, since it uses less digits than its factorization.

104307120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 104307120 is about 10213.0857237174. The cubic root of 104307120 is about 470.7293940995.

The spelling of 104307120 in words is "one hundred four million, three hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 277 360 523 554 720 831 1046 1108 1385 1569 1662 2092 2216 2493 2615 2770 3138 3324 4155 4184 4432 4707 4986 5230 5540 6276 6648 7845 8310 8368 9414 9972 10460 11080 12465 12552 13296 15690 16620 18828 19944 20920 22160 23535 24930 25104 31380 33240 37656 39888 41840 47070 49860 62760 66480 75312 94140 99720 125520 144871 188280 199440 289742 376560 434613 579484 724355 869226 1158968 1303839 1448710 1738452 2173065 2317936 2607678 2897420 3476904 4346130 5215356 5794840 6519195 6953808 8692260 10430712 11589680 13038390 17384520 20861424 26076780 34769040 52153560 104307120