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116400544 = 2513733833
BaseRepresentation
bin1101111000000…
…10000110100000
322010000202112021
412330002012200
5214244304134
615314511224
72612250121
oct674020640
9263022467
10116400544
115a7834a7
1232b95514
131b166780
1411660048
15a3440b4
hex6f021a0

116400544 has 48 divisors (see below), whose sum is σ = 250237512. Its totient is φ = 52973568.

The previous prime is 116400533. The next prime is 116400551. The reversal of 116400544 is 445004611.

It can be written as a sum of positive squares in 4 ways, for example, as 67568400 + 48832144 = 8220^2 + 6988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28452 + ... + 32284.

Almost surely, 2116400544 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 116400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125118756).

116400544 is an abundant number, since it is smaller than the sum of its proper divisors (133836968).

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

116400544 is a wasteful number, since it uses less digits than its factorization.

116400544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 116400544 is about 10788.9083785154. The cubic root of 116400544 is about 488.2605882262.

The spelling of 116400544 in words is "one hundred sixteen million, four hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 3833 7592 7666 15184 15332 30368 30664 49829 61328 99658 122656 199316 279809 398632 559618 797264 1119236 1594528 2238472 3637517 4476944 7275034 8953888 14550068 29100136 58200272 116400544