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114613696 = 2631411409
BaseRepresentation
bin1101101010011…
…01110111000000
321222122222102201
412311031313000
5213320114241
615212322544
72561125501
oct665156700
9258588381
10114613696
1159772a6a
1232473454
131a98c372
1411316ba8
15a0de931
hex6d4ddc0

114613696 has 56 divisors (see below), whose sum is σ = 240670080. Its totient is φ = 54067200.

The previous prime is 114613691. The next prime is 114613699. The reversal of 114613696 is 696316411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114613691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80640 + ... + 82048.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2114613696 is an apocalyptic number.

114613696 is a gapful number since it is divisible by the number (16) 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 114613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335040).

114613696 is an abundant number, since it is smaller than the sum of its proper divisors (126056384).

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

114613696 is a wasteful number, since it uses less digits than its factorization.

114613696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1483 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 114613696 is about 10705.7786265176. The cubic root of 114613696 is about 485.7492878384.

The spelling of 114613696 in words is "one hundred fourteen million, six hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1409 1984 2542 2624 2818 5084 5636 10168 11272 20336 22544 40672 43679 45088 57769 81344 87358 90176 115538 174716 231076 349432 462152 698864 924304 1397728 1790839 1848608 2795456 3581678 3697216 7163356 14326712 28653424 57306848 114613696