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116644320 = 25335133167
BaseRepresentation
bin1101111001111…
…01100111100000
322010111010221000
412330331213200
5214330104240
615324032000
72614313622
oct674754740
9263433830
10116644320
115a92a671
1233092600
131b220710
14116c4c12
15a391430
hex6f3d9e0

116644320 has 384 divisors, whose sum is σ = 460615680. Its totient is φ = 27371520.

The previous prime is 116644309. The next prime is 116644321. The reversal of 116644320 is 23446611.

116644320 is a `hidden beast` number, since 1 + 16 + 644 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116644321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740927 + ... + 1740993.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2116644320 is an apocalyptic number.

116644320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

116644320 is an abundant number, since it is smaller than the sum of its proper divisors (343971360).

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

116644320 is a wasteful number, since it uses less digits than its factorization.

116644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 116644320 is about 10800.1999981482. The cubic root of 116644320 is about 488.6012029518.

It can be divided in two parts, 116644 and 320, that added together give a square (116964 = 3422).

The spelling of 116644320 in words is "one hundred sixteen million, six hundred forty-four thousand, three hundred twenty".