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114072296 = 23132139607
BaseRepresentation
bin1101100110010…
…01101011101000
321221122110202212
412303021223220
5213200303141
615152544252
72553412202
oct663115350
9257573685
10114072296
1159433228
1232252088
131a82cb00
1411215772
15a0342eb
hex6cc9ae8

114072296 has 48 divisors (see below), whose sum is σ = 233654400. Its totient is φ = 52183872.

The previous prime is 114072293. The next prime is 114072307. The reversal of 114072296 is 692270411.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114072293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187625 + ... + 188231.

It is an arithmetic number, because the mean of its divisors is an integer number (4867800).

Almost surely, 2114072296 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 114072296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116827200).

114072296 is an abundant number, since it is smaller than the sum of its proper divisors (119582104).

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

114072296 is a wasteful number, since it uses less digits than its factorization.

114072296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 114072296 is about 10680.4632858318. The cubic root of 114072296 is about 484.9832367466.

The spelling of 114072296 in words is "one hundred fourteen million, seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 139 169 278 338 556 607 676 1112 1214 1352 1807 2428 3614 4856 7228 7891 14456 15782 23491 31564 46982 63128 84373 93964 102583 168746 187928 205166 337492 410332 674984 820664 1096849 2193698 4387396 8774792 14259037 28518074 57036148 114072296