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114150528 = 273299089
BaseRepresentation
bin1101100110111…
…00110010000000
321221210110002100
412303130302000
5213210304103
615154350400
72554156242
oct663346200
9257713070
10114150528
1159486a88
123228b400
131a8595bb
1411236092
15a04c5a3
hex6cdcc80

114150528 has 48 divisors (see below), whose sum is σ = 328483350. Its totient is φ = 38049792.

The previous prime is 114150523. The next prime is 114150551. The reversal of 114150528 is 825051411.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 34012224 = 8952^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (114150523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48393 + ... + 50696.

Almost surely, 2114150528 is an apocalyptic number.

114150528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114150528 is an abundant number, since it is smaller than the sum of its proper divisors (214332822).

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

114150528 is an equidigital number, since it uses as much as digits as its factorization.

114150528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99109 (or 99094 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 114150528 is about 10684.1250460672. The cubic root of 114150528 is about 485.0940803072.

The spelling of 114150528 in words is "one hundred fourteen million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 99089 198178 297267 396356 594534 792712 891801 1189068 1585424 1783602 2378136 3170848 3567204 4756272 6341696 7134408 9512544 12683392 14268816 19025088 28537632 38050176 57075264 114150528