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116248400 = 2452290621
BaseRepresentation
bin1101110110111…
…00111101010000
322002202000211022
412323130331100
5214224422100
615311335012
72611044422
oct673347520
9262660738
10116248400
115a68a164
1232b21468
131b112448
1411620812
15a313e85
hex6edcf50

116248400 has 30 divisors (see below), whose sum is σ = 279287742. Its totient is φ = 46499200.

The previous prime is 116248399. The next prime is 116248409. The reversal of 116248400 is 4842611.

It can be written as a sum of positive squares in 3 ways, for example, as 39790864 + 76457536 = 6308^2 + 8744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116248400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116248409) 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, 144911 + ... + 145710.

Almost surely, 2116248400 is an apocalyptic number.

116248400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116248400 is an abundant number, since it is smaller than the sum of its proper divisors (163039342).

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

116248400 is a wasteful number, since it uses less digits than its factorization.

116248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290639 (or 290628 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 116248400 is about 10781.8551279453. The cubic root of 116248400 is about 488.0477647415.

The spelling of 116248400 in words is "one hundred sixteen million, two hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 290621 581242 1162484 1453105 2324968 2906210 4649936 5812420 7265525 11624840 14531050 23249680 29062100 58124200 116248400