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114055110 = 232513711373
BaseRepresentation
bin1101100110001…
…01011111000110
321221121121012100
412303011133012
5213144230420
615152332530
72553311121
oct663053706
9257547170
10114055110
1159421324
1232244146
131a825040
141120d3b8
15a02e190
hex6cc57c6

114055110 has 96 divisors (see below), whose sum is σ = 324088128. Its totient is φ = 27659520.

The previous prime is 114055069. The next prime is 114055129. The reversal of 114055110 is 11550411.

It is a happy number.

114055110 is a `hidden beast` number, since 114 + 0 + 551 + 1 + 0 = 666.

It is a super-2 number, since 2×1140551102 = 26017136234224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82384 + ... + 83756.

It is an arithmetic number, because the mean of its divisors is an integer number (3375918).

Almost surely, 2114055110 is an apocalyptic number.

114055110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114055110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162044064).

114055110 is an abundant number, since it is smaller than the sum of its proper divisors (210033018).

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

114055110 is a wasteful number, since it uses less digits than its factorization.

114055110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 114055110 is about 10679.6587024118. The cubic root of 114055110 is about 484.9588798524.

The spelling of 114055110 in words is "one hundred fourteen million, fifty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 355 390 426 585 639 710 923 1065 1170 1278 1373 1846 2130 2746 2769 3195 4119 4615 5538 6390 6865 8238 8307 9230 12357 13730 13845 16614 17849 20595 24714 27690 35698 41190 41535 53547 61785 83070 89245 97483 107094 123570 160641 178490 194966 267735 292449 321282 487415 535470 584898 803205 877347 974830 1267279 1462245 1606410 1754694 2534558 2924490 3801837 4386735 6336395 7603674 8773470 11405511 12672790 19009185 22811022 38018370 57027555 114055110