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114905232 = 24321361381
BaseRepresentation
bin1101101100101…
…01000010010000
322000012210100100
412312111002100
5213403431412
615222452400
72563451451
oct666250220
9260183310
10114905232
1159952002
1232594100
131aa61c80
1411391128
15a14aedc
hex6d95090

114905232 has 60 divisors (see below), whose sum is σ = 346317244. Its totient is φ = 35354880.

The previous prime is 114905213. The next prime is 114905257. The reversal of 114905232 is 232509411.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 105760656 = 3024^2 + 10284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114905196 and 114905205.

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 11 ways as a sum of consecutive naturals, for example, 28819 + ... + 32562.

Almost surely, 2114905232 is an apocalyptic number.

114905232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114905232 is an abundant number, since it is smaller than the sum of its proper divisors (231412012).

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

114905232 is a wasteful number, since it uses less digits than its factorization.

114905232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61408 (or 61399 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114905232 is about 10719.3858033005. The cubic root of 114905232 is about 486.1607962577.

The spelling of 114905232 in words is "one hundred fourteen million, nine hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 61381 122762 184143 245524 368286 491048 552429 736572 797953 982096 1104858 1473144 1595906 2209716 2393859 2946288 3191812 4419432 4787718 6383624 7181577 8838864 9575436 12767248 14363154 19150872 28726308 38301744 57452616 114905232