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402096960 = 263555171
BaseRepresentation
bin10111111101111…
…000001101000000
31001000121122100000
4113331320031000
51310414100320
6103522200000
712651524226
oct2775701500
91030548300
10402096960
11196a78441
12b27b3000
13653c6bc5
143b58cb16
1525479c90
hex17f78340

402096960 has 168 divisors, whose sum is σ = 1434547296. Its totient is φ = 107205120.

The previous prime is 402096941. The next prime is 402096983. The reversal of 402096960 is 69690204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75175 + ... + 80345.

It is an arithmetic number, because the mean of its divisors is an integer number (8538972).

Almost surely, 2402096960 is an apocalyptic number.

402096960 is a gapful number since it is divisible by the number (40) 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 402096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717273648).

402096960 is an abundant number, since it is smaller than the sum of its proper divisors (1032450336).

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

402096960 is an equidigital number, since it uses as much as digits as its factorization.

402096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 402096960 is about 20052.3554726122. The cubic root of 402096960 is about 738.0916007657.

The spelling of 402096960 in words is "four hundred two million, ninety-six thousand, nine hundred sixty".