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979403040 = 25325711373
BaseRepresentation
bin111010011000001…
…000000100100000
32112020220211101200
4322120020010200
54001211344130
6241104001200
733161534310
oct7230100440
92466824350
10979403040
11462936000
12234000200
13127ba8135
1494109440
155aeb3760
hex3a608120

979403040 has 576 divisors, whose sum is σ = 4258904832. Its totient is φ = 200724480.

The previous prime is 979403023. The next prime is 979403069. The reversal of 979403040 is 40304979.

It is a super-2 number, since 2×9794030402 = 1918460629522483200, 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 = 979402986 and 979403004.

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, 13416444 + ... + 13416516.

It is an arithmetic number, because the mean of its divisors is an integer number (7393932).

Almost surely, 2979403040 is an apocalyptic number.

979403040 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 979403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129452416).

979403040 is an abundant number, since it is smaller than the sum of its proper divisors (3279501792).

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

979403040 is a wasteful number, since it uses less digits than its factorization.

979403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 979403040 is about 31295.4156387162. The cubic root of 979403040 is about 993.0866625715.

The spelling of 979403040 in words is "nine hundred seventy-nine million, four hundred three thousand, forty".