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913379040 = 253257313779
BaseRepresentation
bin110110011100010…
…000111011100000
32100122200110111100
4312130100323200
53332311112130
6230344514400
731430410440
oct6634207340
92318613440
10913379040
11429640212
12215a7ba00
131172cc292
1489440120
15552c0c60
hex36710ee0

913379040 has 576 divisors, whose sum is σ = 3824271360. Its totient is φ = 194088960.

The previous prime is 913379021. The next prime is 913379053. The reversal of 913379040 is 40973319.

It is a super-2 number, since 2×9133790402 = 1668522541422643200, 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 = 913378986 and 913379004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11561721 + ... + 11561799.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2913379040 is an apocalyptic number.

913379040 is a gapful number since it is divisible by the number (90) 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 913379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912135680).

913379040 is an abundant number, since it is smaller than the sum of its proper divisors (2910892320).

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

913379040 is a wasteful number, since it uses less digits than its factorization.

913379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 913379040 is about 30222.1614051676. The cubic root of 913379040 is about 970.2500648369.

The spelling of 913379040 in words is "nine hundred thirteen million, three hundred seventy-nine thousand, forty".