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114072704 = 271316803
BaseRepresentation
bin1101100110010…
…01110010000000
321221122111022222
412303021302000
5213200311304
615152550212
72553413324
oct663116200
9257574288
10114072704
1159433569
1232252368
131a830055
1411215984
15a0344be
hex6cc9c80

114072704 has 32 divisors (see below), whose sum is σ = 229022640. Its totient is φ = 56592640.

The previous prime is 114072697. The next prime is 114072727. The reversal of 114072704 is 407270411.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 13367 + ... + 20169.

Almost surely, 2114072704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114511320).

114072704 is an abundant number, since it is smaller than the sum of its proper divisors (114949936).

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

114072704 is an equidigital number, since it uses as much as digits as its factorization.

114072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 114072704 is about 10680.4823861097. The cubic root of 114072704 is about 484.9838149557.

It can be divided in two parts, 11 and 4072704, that multiplied together give a palindrome (44799744).

The spelling of 114072704 in words is "one hundred fourteen million, seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 6803 8384 13606 16768 27212 54424 108848 217696 435392 870784 891193 1782386 3564772 7129544 14259088 28518176 57036352 114072704