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1055600640 = 2123352383
BaseRepresentation
bin111110111010110…
…011000000000000
32201120022001212000
4332322303000000
54130213210030
6252425104000
735105312613
oct7672630000
92646261760
101055600640
114a194a426
12255628000
1313a906883
14a02a217a
1562a15860
hex3eeb3000

1055600640 has 416 divisors, whose sum is σ = 3963133440. Its totient is φ = 266010624.

The previous prime is 1055600599. The next prime is 1055600641. The reversal of 1055600640 is 460065501.

It is a happy number.

1055600640 is a `hidden beast` number, since 1 + 0 + 55 + 600 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×10556006402 = 2228585422336819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1055600641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718039 + ... + 12718121.

Almost surely, 21055600640 is an apocalyptic number.

1055600640 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 1055600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981566720).

1055600640 is an abundant number, since it is smaller than the sum of its proper divisors (2907532800).

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

1055600640 is an equidigital number, since it uses as much as digits as its factorization.

1055600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1055600640 is about 32490.0083102482. The cubic root of 1055600640 is about 1018.2002866161.

The spelling of 1055600640 in words is "one billion, fifty-five million, six hundred thousand, six hundred forty".