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104160420 = 223257136359
BaseRepresentation
bin1100011010101…
…01110010100100
321020222220020100
412031111302210
5203131113140
614200304100
72403230460
oct615256244
9236886210
10104160420
11538832a1
122aa72030
131876c3b0
14db954a0
159227530
hex6355ca4

104160420 has 144 divisors (see below), whose sum is σ = 388926720. Its totient is φ = 21973248.

The previous prime is 104160383. The next prime is 104160449. The reversal of 104160420 is 24061401.

104160420 is a `hidden beast` number, since 1 + 0 + 41 + 604 + 20 = 666.

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 = 104160393 and 104160402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13201 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (2700880).

Almost surely, 2104160420 is an apocalyptic number.

104160420 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 104160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194463360).

104160420 is an abundant number, since it is smaller than the sum of its proper divisors (284766300).

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

104160420 is a wasteful number, since it uses less digits than its factorization.

104160420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6389 counting only the distinct ones).

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

The square root of 104160420 is about 10205.9012340900. The cubic root of 104160420 is about 470.5086089111.

The spelling of 104160420 in words is "one hundred four million, one hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 6359 8190 12718 16380 19077 25436 31795 38154 44513 57231 63590 76308 82667 89026 95385 114462 127180 133539 165334 178052 190770 222565 228924 248001 267078 286155 330668 381540 400617 413335 445130 496002 534156 572310 578669 667695 744003 801234 826670 890260 992004 1144620 1157338 1240005 1335390 1488006 1602468 1653340 1736007 2003085 2314676 2480010 2670780 2893345 2976012 3472014 3720015 4006170 4960020 5208021 5786690 6944028 7440030 8012340 8680035 10416042 11573380 14880060 17360070 20832084 26040105 34720140 52080210 104160420