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114755056 = 2413231372
BaseRepresentation
bin1101101011100…
…00010111110000
321222221011100021
412311300113300
5213334130211
615215333224
72562254563
oct665602760
9258834307
10114755056
115985a199
1232521214
131aa0b800
14113524da
15a11b771
hex6d705f0

114755056 has 90 divisors (see below), whose sum is σ = 255421152. Its totient is φ = 49870080.

The previous prime is 114755033. The next prime is 114755057. The reversal of 114755056 is 650557411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114755057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3101470 + ... + 3101506.

Almost surely, 2114755056 is an apocalyptic number.

114755056 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 114755056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127710576).

114755056 is an abundant number, since it is smaller than the sum of its proper divisors (140666096).

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

114755056 is a wasteful number, since it uses less digits than its factorization.

114755056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The square root of 114755056 is about 10712.3786340850. The cubic root of 114755056 is about 485.9489071139.

The spelling of 114755056 in words is "one hundred fourteen million, seven hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 37 52 62 74 104 124 148 169 208 248 296 338 403 481 496 592 676 806 962 1147 1352 1369 1612 1924 2294 2704 2738 3224 3848 4588 5239 5476 6253 6448 7696 9176 10478 10952 12506 14911 17797 18352 20956 21904 25012 29822 35594 41912 42439 50024 59644 71188 83824 84878 100048 119288 142376 169756 193843 231361 238576 284752 339512 387686 462722 551707 679024 775372 925444 1103414 1550744 1850888 2206828 3101488 3701776 4413656 7172191 8827312 14344382 28688764 57377528 114755056