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114631264 = 25112314159
BaseRepresentation
bin1101101010100…
…10001001100000
321222200212112101
412311102021200
5213321200024
615212540144
72561230636
oct665221140
9258625471
10114631264
1159785190
1232481654
131a997367
141131d356
15a0e4c44
hex6d52260

114631264 has 48 divisors (see below), whose sum is σ = 256919040. Its totient is φ = 49836160.

The previous prime is 114631219. The next prime is 114631271. The reversal of 114631264 is 462136411.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 15175.

It is an arithmetic number, because the mean of its divisors is an integer number (5352480).

Almost surely, 2114631264 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 114631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459520).

114631264 is an abundant number, since it is smaller than the sum of its proper divisors (142287776).

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

114631264 is a wasteful number, since it uses less digits than its factorization.

114631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14203 (or 14195 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 114631264 is about 10706.5990865447. The cubic root of 114631264 is about 485.7741051387.

Adding to 114631264 its reverse (462136411), we get a palindrome (576767675).

The spelling of 114631264 in words is "one hundred fourteen million, six hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 14159 28318 56636 113272 155749 226544 311498 325657 453088 622996 651314 1245992 1302628 2491984 2605256 3582227 4983968 5210512 7164454 10421024 14328908 28657816 57315632 114631264