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116262144 = 283250461
BaseRepresentation
bin1101110111000…
…00010100000000
322002202201200100
412323200110000
5214230342034
615311522400
72611132455
oct673402400
9262681610
10116262144
115a699519
1232b29400
131b11878b
141162582c
15a318099
hex6ee0500

116262144 has 54 divisors (see below), whose sum is σ = 335219066. Its totient is φ = 38753280.

The previous prime is 116262143. The next prime is 116262151. The reversal of 116262144 is 441262611.

116262144 is a `hidden beast` number, since 11 + 626 + 21 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110502144 + 5760000 = 10512^2 + 2400^2 .

It is a super-2 number, since 2×1162621442 = 27033772254953472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116262143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22927 + ... + 27534.

Almost surely, 2116262144 is an apocalyptic number.

It is an amenable number.

116262144 is an abundant number, since it is smaller than the sum of its proper divisors (218956922).

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

116262144 is an equidigital number, since it uses as much as digits as its factorization.

116262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50483 (or 50466 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 116262144 is about 10782.4924762320. The cubic root of 116262144 is about 488.0669978783.

The spelling of 116262144 in words is "one hundred sixteen million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 50461 100922 151383 201844 302766 403688 454149 605532 807376 908298 1211064 1614752 1816596 2422128 3229504 3633192 4844256 6459008 7266384 9688512 12918016 14532768 19377024 29065536 38754048 58131072 116262144