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1055918640 = 243573101127
BaseRepresentation
bin111110111100000…
…000101000110000
32201120220020001210
4332330000220300
54130303344030
6252440000120
735111106000
oct7674005060
92646806053
101055918640
114a2047337
12255760040
1313a9b853a
14a0346000
1562a79bb0
hex3ef00a30

1055918640 has 320 divisors, whose sum is σ = 3885465600. Its totient is φ = 237081600.

The previous prime is 1055918587. The next prime is 1055918641. The reversal of 1055918640 is 468195501.

It is a super-2 number, since 2×10559186402 = 2229928348598899200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055918641) 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 63 ways as a sum of consecutive naturals, for example, 8314257 + ... + 8314383.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 21055918640 is an apocalyptic number.

1055918640 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 1055918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1055918640 is an abundant number, since it is smaller than the sum of its proper divisors (2829546960).

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

1055918640 is a wasteful number, since it uses less digits than its factorization.

1055918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1055918640 is about 32494.9017539675. The cubic root of 1055918640 is about 1018.3025207284.

The spelling of 1055918640 in words is "one billion, fifty-five million, nine hundred eighteen thousand, six hundred forty".