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104487168 = 2831753151
BaseRepresentation
bin1100011101001…
…01100100000000
321021121111110010
412032211210000
5203222042133
614211304520
72406061212
oct616454400
9237544403
10104487168
1153a86835
122abab140
1318855036
14dc3c5b2
15928e263
hex63a5900

104487168 has 144 divisors (see below), whose sum is σ = 301988736. Its totient is φ = 31948800.

The previous prime is 104487077. The next prime is 104487179. The reversal of 104487168 is 861784401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691893 + ... + 692043.

It is an arithmetic number, because the mean of its divisors is an integer number (2097144).

Almost surely, 2104487168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994368).

104487168 is an abundant number, since it is smaller than the sum of its proper divisors (197501568).

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

104487168 is a wasteful number, since it uses less digits than its factorization.

104487168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 104487168 is about 10221.8964972259. The cubic root of 104487168 is about 471.0000856469. Note that the first 4 decimals are identical.

Adding to 104487168 its product of nonzero digits (43008), we get a square (104530176 = 102242).

The spelling of 104487168 in words is "one hundred four million, four hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 151 159 192 204 212 256 272 302 318 384 408 424 453 544 604 636 768 816 848 901 906 1088 1208 1272 1632 1696 1802 1812 2176 2416 2544 2567 2703 3264 3392 3604 3624 4352 4832 5088 5134 5406 6528 6784 7208 7248 7701 8003 9664 10176 10268 10812 13056 13568 14416 14496 15402 16006 19328 20352 20536 21624 24009 28832 28992 30804 32012 38656 40704 41072 43248 48018 57664 57984 61608 64024 82144 86496 96036 115328 115968 123216 128048 136051 164288 172992 192072 230656 246432 256096 272102 328576 345984 384144 408153 492864 512192 544204 657152 691968 768288 816306 985728 1024384 1088408 1536576 1632612 1971456 2048768 2176816 3073152 3265224 4353632 6146304 6530448 8707264 13060896 17414528 26121792 34829056 52243584 104487168