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114196656 = 24372232111
BaseRepresentation
bin1101100111010…
…00000010110000
321221212210100210
412303220002300
5213213243111
615155344120
72554440600
oct663500260
9257783323
10114196656
1159508702
12322b2040
131a8745b2
1411248c00
15a05b0a6
hex6ce80b0

114196656 has 120 divisors (see below), whose sum is σ = 358262784. Its totient is φ = 31194240.

The previous prime is 114196651. The next prime is 114196657. The reversal of 114196656 is 656691411.

It is not an unprimeable number, because it can be changed into a prime (114196651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53041 + ... + 55151.

Almost surely, 2114196656 is an apocalyptic number.

114196656 is a gapful number since it is divisible by the number (16) 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 114196656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

114196656 is an abundant number, since it is smaller than the sum of its proper divisors (244066128).

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

114196656 is a wasteful number, since it uses less digits than its factorization.

114196656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2146 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 114196656 is about 10686.2835448064. The cubic root of 114196656 is about 485.1594133568.

The spelling of 114196656 in words is "one hundred fourteen million, one hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2111 2254 2352 2576 3381 3864 4222 4508 6333 6762 7728 8444 9016 12666 13524 14777 16888 18032 25332 27048 29554 33776 44331 48553 50664 54096 59108 88662 97106 101328 103439 118216 145659 177324 194212 206878 236432 291318 310317 339871 354648 388424 413756 582636 620634 679742 709296 776848 827512 1019613 1165272 1241268 1359484 1655024 2039226 2330544 2379097 2482536 2718968 4078452 4758194 4965072 5437936 7137291 8156904 9516388 14274582 16313808 19032776 28549164 38065552 57098328 114196656