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114657012 = 22337314543
BaseRepresentation
bin1101101010110…
…00011011110100
321222202011212000
412311120123310
5213323011022
615213255300
72561366001
oct665303364
9258664760
10114657012
11597a2568
1232494530
131a9a5cb2
14113288a8
15a0ec6ac
hex6d586f4

114657012 has 48 divisors (see below), whose sum is σ = 301351680. Its totient is φ = 37692864.

The previous prime is 114656989. The next prime is 114657029. The reversal of 114657012 is 210756411.

It is a happy number.

114657012 is a `hidden beast` number, since 1 + 1 + 4 + 657 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (6278160).

Almost surely, 2114657012 is an apocalyptic number.

114657012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114657012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150675840).

114657012 is an abundant number, since it is smaller than the sum of its proper divisors (186694668).

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

114657012 is a wasteful number, since it uses less digits than its factorization.

114657012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14621 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114657012 is about 10707.8014550140. The cubic root of 114657012 is about 485.8104732720.

The spelling of 114657012 in words is "one hundred fourteen million, six hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 14543 29086 43629 58172 87258 130887 174516 261774 392661 523548 785322 1061639 1570644 2123278 3184917 4246556 6369834 9554751 12739668 19109502 28664253 38219004 57328506 114657012