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114157296 = 24331124023
BaseRepresentation
bin1101100110111…
…10011011110000
321221210210101000
412303132123300
5213211013141
615154442000
72554215051
oct663363360
9257723330
10114157296
1159491080
1232293300
131a85c6c6
1411238728
15a04e5b6
hex6cde6f0

114157296 has 80 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 34591680.

The previous prime is 114157273. The next prime is 114157343. The reversal of 114157296 is 692751411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114157296.

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, 7260 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2114157296 is an apocalyptic number.

114157296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114157296 is an abundant number, since it is smaller than the sum of its proper divisors (243319824).

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

114157296 is a wasteful number, since it uses less digits than its factorization.

114157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24051 (or 24039 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 114157296 is about 10684.4417729706. The cubic root of 114157296 is about 485.1036672153.

The spelling of 114157296 in words is "one hundred fourteen million, one hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 24023 48046 72069 96092 144138 192184 216207 264253 288276 384368 432414 528506 576552 648621 792759 864828 1057012 1153104 1297242 1585518 1729656 2114024 2378277 2594484 3171036 3459312 4228048 4756554 5188968 6342072 7134831 9513108 10377936 12684144 14269662 19026216 28539324 38052432 57078648 114157296