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114212904 = 23313229971
BaseRepresentation
bin1101100111011…
…00000000101000
321221220121122120
412303230000220
5213214303104
615155551240
72554536141
oct663540050
9257817576
10114212904
1159519933
12322bb520
131a87bb00
1411250ac8
15a060cd9
hex6cec028

114212904 has 96 divisors (see below), whose sum is σ = 320176800. Its totient is φ = 33895680.

The previous prime is 114212873. The next prime is 114212911. The reversal of 114212904 is 409212411.

It is a super-2 number, since 2×1142129042 = 26089174880226432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117139 + ... + 118109.

It is an arithmetic number, because the mean of its divisors is an integer number (3335175).

Almost surely, 2114212904 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 114212904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160088400).

114212904 is an abundant number, since it is smaller than the sum of its proper divisors (205963896).

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

114212904 is a wasteful number, since it uses less digits than its factorization.

114212904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114212904 is about 10687.0437446471. The cubic root of 114212904 is about 485.1824219007.

The spelling of 114212904 in words is "one hundred fourteen million, two hundred twelve thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 169 174 232 312 338 348 377 507 676 696 754 971 1014 1131 1352 1508 1942 2028 2262 2913 3016 3884 4056 4524 4901 5826 7768 9048 9802 11652 12623 14703 19604 23304 25246 28159 29406 37869 39208 50492 56318 58812 75738 84477 100984 112636 117624 151476 164099 168954 225272 302952 328198 337908 366067 492297 656396 675816 732134 984594 1098201 1312792 1464268 1969188 2196402 2928536 3938376 4392804 4758871 8785608 9517742 14276613 19035484 28553226 38070968 57106452 114212904