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118909440 = 2932513397
BaseRepresentation
bin1110001011001…
…10101000000000
322021202020002100
413011212220000
5220420100230
615444350400
72642466516
oct705465000
9267666070
10118909440
1161137471
12339a5400
131b834720
1411b144b6
15a68c660
hex7166a00

118909440 has 240 divisors, whose sum is σ = 444612168. Its totient is φ = 29196288.

The previous prime is 118909409. The next prime is 118909447. The reversal of 118909440 is 44909811.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 34857216 = 9168^2 + 5904^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1189094402 = 28278909842227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 118909395 and 118909404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118909447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299322 + ... + 299718.

Almost surely, 2118909440 is an apocalyptic number.

118909440 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 118909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222306084).

118909440 is an abundant number, since it is smaller than the sum of its proper divisors (325702728).

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

118909440 is a wasteful number, since it uses less digits than its factorization.

118909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 118909440 is about 10904.5605138401. The cubic root of 118909440 is about 491.7436697678.

The spelling of 118909440 in words is "one hundred eighteen million, nine hundred nine thousand, four hundred forty".