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114696192 = 213313359
BaseRepresentation
bin1101101011000…
…10000000000000
321222211011121010
412311202000000
5213330234232
615214200520
72561621142
oct665420000
9258734533
10114696192
1159819a46
12324b3140
131a9baa90
1411338c92
15a1090cc
hex6d62000

114696192 has 112 divisors (see below), whose sum is σ = 330281280. Its totient is φ = 35192832.

The previous prime is 114696191. The next prime is 114696209. The reversal of 114696192 is 291696411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 114696192.

It is not an unprimeable number, because it can be changed into a prime (114696191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319309 + ... + 319667.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2114696192 is an apocalyptic number.

114696192 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 114696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

114696192 is an abundant number, since it is smaller than the sum of its proper divisors (215585088).

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

114696192 is an equidigital number, since it uses as much as digits as its factorization.

114696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 114696192 is about 10709.6308059615. The cubic root of 114696192 is about 485.8658031827.

The spelling of 114696192 in words is "one hundred fourteen million, six hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 359 384 416 512 624 718 768 832 1024 1077 1248 1436 1536 1664 2048 2154 2496 2872 3072 3328 4096 4308 4667 4992 5744 6144 6656 8192 8616 9334 9984 11488 12288 13312 14001 17232 18668 19968 22976 24576 26624 28002 34464 37336 39936 45952 53248 56004 68928 74672 79872 91904 106496 112008 137856 149344 159744 183808 224016 275712 298688 319488 367616 448032 551424 597376 735232 896064 1102848 1194752 1470464 1792128 2205696 2389504 2940928 3584256 4411392 4779008 7168512 8822784 9558016 14337024 19116032 28674048 38232064 57348096 114696192