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960252480 = 2632511171783
BaseRepresentation
bin111001001111000…
…100101001000000
32110220212212202200
4321033010221000
53431311034410
6235141313200
732540003625
oct7117045100
92426785680
10960252480
114530459a0
12229705800
13123c31545
149176234c
155947e3c0
hex393c4a40

960252480 has 336 divisors, whose sum is σ = 3817217664. Its totient is φ = 218972160.

The previous prime is 960252473. The next prime is 960252499. The reversal of 960252480 is 84252069.

It is a happy number.

960252480 is a `hidden beast` number, since 9 + 602 + 5 + 2 + 48 + 0 = 666.

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

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, 537669 + ... + 539451.

Almost surely, 2960252480 is an apocalyptic number.

960252480 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 960252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908608832).

960252480 is an abundant number, since it is smaller than the sum of its proper divisors (2856965184).

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

960252480 is a wasteful number, since it uses less digits than its factorization.

960252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 960252480 is about 30987.9408802844. The cubic root of 960252480 is about 986.5713039885.

The spelling of 960252480 in words is "nine hundred sixty million, two hundred fifty-two thousand, four hundred eighty".