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114500992 = 271923289
BaseRepresentation
bin1101101001100…
…10010110000000
321222110020211111
412310302112000
5213303012432
615210053104
72560146064
oct664622600
9258406744
10114500992
11596a6321
123241a194
131a94cc88
14112c7aa4
15a0bb347
hex6d32580

114500992 has 96 divisors (see below), whose sum is σ = 253827000. Its totient is φ = 51296256.

The previous prime is 114500989. The next prime is 114500993. The reversal of 114500992 is 299005411.

It is a super-2 number, since 2×1145009922 = 26220954337968128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114500993) 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 11 ways as a sum of consecutive naturals, for example, 1286484 + ... + 1286572.

Almost surely, 2114500992 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 114500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126913500).

114500992 is an abundant number, since it is smaller than the sum of its proper divisors (139326008).

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

114500992 is an equidigital number, since it uses as much as digits as its factorization.

114500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 114500992 is about 10700.5136325319. The cubic root of 114500992 is about 485.5900170473.

The spelling of 114500992 in words is "one hundred fourteen million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 89 92 128 152 178 184 304 356 368 437 529 608 712 736 874 1058 1216 1424 1472 1691 1748 2047 2116 2432 2848 2944 3382 3496 4094 4232 5696 6764 6992 8188 8464 10051 11392 13528 13984 16376 16928 20102 27056 27968 32752 33856 38893 40204 47081 54112 55936 65504 67712 77786 80408 94162 108224 131008 155572 160816 188324 216448 262016 311144 321632 376648 622288 643264 753296 894539 1244576 1286528 1506592 1789078 2489152 3013184 3578156 4978304 6026368 7156312 14312624 28625248 57250496 114500992