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1055280960 = 2635541331
BaseRepresentation
bin111110111001100…
…100111101000000
32201112200211100000
4332321210331000
54130122442320
6252414200000
735102511606
oct7671447500
92645624300
101055280960
114a1751228
122554b3000
1313a824206
14a021b876
15629a0c90
hex3ee64f40

1055280960 has 336 divisors, whose sum is σ = 3867619392. Its totient is φ = 273715200.

The previous prime is 1055280953. The next prime is 1055280977. The reversal of 1055280960 is 690825501.

It is a happy number.

1055280960 is a `hidden beast` number, since 10 + 552 + 8 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×10552809602 = 2227235809077043200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3187995 + ... + 3188325.

It is an arithmetic number, because the mean of its divisors is an integer number (11510772).

Almost surely, 21055280960 is an apocalyptic number.

1055280960 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 1055280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933809696).

1055280960 is an abundant number, since it is smaller than the sum of its proper divisors (2812338432).

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

1055280960 is an equidigital number, since it uses as much as digits as its factorization.

1055280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1055280960 is about 32485.0882713900. The cubic root of 1055280960 is about 1018.0974917021.

The spelling of 1055280960 in words is "one billion, fifty-five million, two hundred eighty thousand, nine hundred sixty".