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104870016 = 273291033
BaseRepresentation
bin1100100000000…
…11000010000000
321022022221121200
412100003002000
5203321320031
614223421200
72412244326
oct620030200
9238287550
10104870016
1154218439
122b154800
131895a384
14dcdbd16
1593178e6
hex6403080

104870016 has 48 divisors (see below), whose sum is σ = 301777710. Its totient is φ = 34956288.

The previous prime is 104869997. The next prime is 104870021. The reversal of 104870016 is 610078401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 28132416 = 8760^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44365 + ... + 46668.

Almost surely, 2104870016 is an apocalyptic number.

104870016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104870016 is an abundant number, since it is smaller than the sum of its proper divisors (196907694).

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

104870016 is an equidigital number, since it uses as much as digits as its factorization.

104870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91053 (or 91038 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 104870016 is about 10240.6062320548. The cubic root of 104870016 is about 471.5746431255.

The spelling of 104870016 in words is "one hundred four million, eight hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 91033 182066 273099 364132 546198 728264 819297 1092396 1456528 1638594 2184792 2913056 3277188 4369584 5826112 6554376 8739168 11652224 13108752 17478336 26217504 34956672 52435008 104870016