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104915712 = 2831121129
BaseRepresentation
bin1100100000011…
…10001100000000
321022102021022010
412100032030000
5203324300322
614224412520
72412524466
oct620161400
9238367263
10104915712
1154249800
122b177140
1318975105
14dd10836
15932620c
hex640e300

104915712 has 108 divisors (see below), whose sum is σ = 307192760. Its totient is φ = 31764480.

The previous prime is 104915711. The next prime is 104915729. The reversal of 104915712 is 217519401.

It is a super-2 number, since 2×1049157122 = 22014613248933888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104915712.

It is not an unprimeable number, because it can be changed into a prime (104915711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92364 + ... + 93492.

Almost surely, 2104915712 is an apocalyptic number.

104915712 is a gapful number since it is divisible by the number (12) 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 104915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153596380).

104915712 is an abundant number, since it is smaller than the sum of its proper divisors (202277048).

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

104915712 is a wasteful number, since it uses less digits than its factorization.

104915712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 104915712 is about 10242.8371069738. The cubic root of 104915712 is about 471.6431277333.

It can be divided in two parts, 1049 and 15712, that added together give a palindrome (16761).

The spelling of 104915712 in words is "one hundred four million, nine hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1129 1408 1452 1936 2112 2258 2816 2904 3387 3872 4224 4516 5808 6774 7744 8448 9032 11616 12419 13548 15488 18064 23232 24838 27096 30976 36128 37257 46464 49676 54192 72256 74514 92928 99352 108384 136609 144512 149028 198704 216768 273218 289024 298056 397408 409827 433536 546436 596112 794816 819654 867072 1092872 1192224 1589632 1639308 2185744 2384448 3179264 3278616 4371488 4768896 6557232 8742976 9537792 13114464 17485952 26228928 34971904 52457856 104915712