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114568128 = 263366301
BaseRepresentation
bin1101101010000…
…10101111000000
321222120122221000
412311002233000
5213312140003
615211332000
72560545603
oct665025700
9258518830
10114568128
1159741804
1232451000
131a9746bc
141130433a
15a0d11a3
hex6d42bc0

114568128 has 56 divisors (see below), whose sum is σ = 336814160. Its totient is φ = 38188800.

The previous prime is 114568123. The next prime is 114568133. The reversal of 114568128 is 821865411.

It is an interprime number because it is at equal distance from previous prime (114568123) and next prime (114568133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114568092 and 114568101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114568121) 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, 31423 + ... + 34878.

Almost surely, 2114568128 is an apocalyptic number.

114568128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114568128 is an abundant number, since it is smaller than the sum of its proper divisors (222246032).

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

114568128 is an equidigital number, since it uses as much as digits as its factorization.

114568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66322 (or 66306 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 114568128 is about 10703.6502185002. The cubic root of 114568128 is about 485.6849047313.

The spelling of 114568128 in words is "one hundred fourteen million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 66301 132602 198903 265204 397806 530408 596709 795612 1060816 1193418 1591224 1790127 2121632 2386836 3182448 3580254 4243264 4773672 6364896 7160508 9547344 12729792 14321016 19094688 28642032 38189376 57284064 114568128