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116643120 = 2435111723113
BaseRepresentation
bin1101111001111…
…01010100110000
322010111002021120
412330331110300
5214330034440
615324022240
72614310256
oct674752460
9263432246
10116643120
115a929780
1233091980
131b21ccc9
14116c45d6
15a390dd0
hex6f3d530

116643120 has 320 divisors, whose sum is σ = 439686144. Its totient is φ = 25231360.

The previous prime is 116643113. The next prime is 116643139. The reversal of 116643120 is 21346611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1032184 + ... + 1032296.

Almost surely, 2116643120 is an apocalyptic number.

116643120 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 116643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072).

116643120 is an abundant number, since it is smaller than the sum of its proper divisors (323043024).

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

116643120 is a wasteful number, since it uses less digits than its factorization.

116643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 116643120 is about 10800.1444434785. The cubic root of 116643120 is about 488.5995274210.

Adding to 116643120 its reverse (21346611), we get a palindrome (137989731).

The spelling of 116643120 in words is "one hundred sixteen million, six hundred forty-three thousand, one hundred twenty".