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114924672 = 273299761
BaseRepresentation
bin1101101100110…
…01110010000000
322000020210000100
412312121302000
5213410042142
615223122400
72563562232
oct666316200
9260223010
10114924672
1159965675
12325a3400
131aa6aa85
1411398252
15a151b4c
hex6d99c80

114924672 has 48 divisors (see below), whose sum is σ = 330711030. Its totient is φ = 38307840.

The previous prime is 114924643. The next prime is 114924707. The reversal of 114924672 is 276429411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 2903616 = 10584^2 + 1704^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48729 + ... + 51032.

Almost surely, 2114924672 is an apocalyptic number.

114924672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114924672 is an abundant number, since it is smaller than the sum of its proper divisors (215786358).

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

114924672 is an equidigital number, since it uses as much as digits as its factorization.

114924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99781 (or 99766 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 114924672 is about 10720.2925333220. The cubic root of 114924672 is about 486.1882114089.

The spelling of 114924672 in words is "one hundred fourteen million, nine hundred twenty-four thousand, six hundred seventy-two".

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 99761 199522 299283 399044 598566 798088 897849 1197132 1596176 1795698 2394264 3192352 3591396 4788528 6384704 7182792 9577056 12769408 14365584 19154112 28731168 38308224 57462336 114924672