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114100712 = 23119713367
BaseRepresentation
bin1101100110100…
…00100111101000
321221200220202022
412303100213220
5213202210322
615153324012
72553561065
oct663204750
9257626668
10114100712
1159452610
1232266608
131a83ca1b
1411221c6c
15a03c942
hex6cd09e8

114100712 has 32 divisors (see below), whose sum is σ = 235811520. Its totient is φ = 51325440.

The previous prime is 114100699. The next prime is 114100741. The reversal of 114100712 is 217001411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (7369110).

Almost surely, 2114100712 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 114100712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117905760).

114100712 is an abundant number, since it is smaller than the sum of its proper divisors (121710808).

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

114100712 is a wasteful number, since it uses less digits than its factorization.

114100712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 114100712 is about 10681.7934823699. The cubic root of 114100712 is about 485.0235040156.

The spelling of 114100712 in words is "one hundred fourteen million, one hundred thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 4268 8536 13367 26734 53468 106936 147037 294074 588148 1176296 1296599 2593198 5186396 10372792 14262589 28525178 57050356 114100712