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118434960 = 2434572373
BaseRepresentation
bin1110000111100…
…10110010010000
322020212010020000
413003302302100
5220304404320
615430250000
72635452300
oct703626220
9266763200
10118434960
1160942a36
12337b6900
131b6c9777
1411a2d600
15a5e6c90
hex70f2c90

118434960 has 300 divisors, whose sum is σ = 479782908. Its totient is φ = 26998272.

The previous prime is 118434947. The next prime is 118434989. The reversal of 118434960 is 69434811.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 65028096 = 7308^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317334 + ... + 317706.

Almost surely, 2118434960 is an apocalyptic number.

118434960 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 118434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239891454).

118434960 is an abundant number, since it is smaller than the sum of its proper divisors (361347948).

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

118434960 is a wasteful number, since it uses less digits than its factorization.

118434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 118434960 is about 10882.7827323713. The cubic root of 118434960 is about 491.0887355991.

The spelling of 118434960 in words is "one hundred eighteen million, four hundred thirty-four thousand, nine hundred sixty".