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114043904 = 210132659
BaseRepresentation
bin1101100110000…
…10110000000000
321221121000211022
412303002300000
5213143401104
615152205012
72553233342
oct663026000
9257530738
10114043904
1159413967
1232239768
131a81cc00
1411209292
15a02abbe
hex6cc2c00

114043904 has 66 divisors (see below), whose sum is σ = 247236660. Its totient is φ = 52555776.

The previous prime is 114043903. The next prime is 114043927. The reversal of 114043904 is 409340411.

It is a super-2 number, since 2×1140439042 = 26012024079122432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (114043903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172727 + ... + 173385.

It is an arithmetic number, because the mean of its divisors is an integer number (3746010).

Almost surely, 2114043904 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 114043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123618330).

114043904 is an abundant number, since it is smaller than the sum of its proper divisors (133192756).

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

114043904 is an equidigital number, since it uses as much as digits as its factorization.

114043904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 114043904 is about 10679.1340472905. The cubic root of 114043904 is about 484.9429968078.

The spelling of 114043904 in words is "one hundred fourteen million, forty-three thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 659 676 832 1024 1318 1352 1664 2636 2704 3328 5272 5408 6656 8567 10544 10816 13312 17134 21088 21632 34268 42176 43264 68536 84352 86528 111371 137072 168704 173056 222742 274144 337408 445484 548288 674816 890968 1096576 1781936 2193152 3563872 4386304 7127744 8772608 14255488 28510976 57021952 114043904