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1055056840 = 235129120431
BaseRepresentation
bin111110111000101…
…110001111001000
32201112021102220021
4332320232033020
54130043304330
6252405310224
735100556315
oct7670561710
92645242807
101055056840
114a1608902
12255405374
1313a7761b6
14a019dd0c
156295967a
hex3ee2e3c8

1055056840 has 32 divisors (see below), whose sum is σ = 2375832960. Its totient is φ = 421675200.

The previous prime is 1055056831. The next prime is 1055056841. The reversal of 1055056840 is 486505501.

It is a happy number.

It is a super-2 number, since 2×10550568402 = 2226289871261571200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1055056796 and 1055056805.

It is not an unprimeable number, because it can be changed into a prime (1055056841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41425 + ... + 61855.

It is an arithmetic number, because the mean of its divisors is an integer number (74244780).

Almost surely, 21055056840 is an apocalyptic number.

1055056840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055056840 is an abundant number, since it is smaller than the sum of its proper divisors (1320776120).

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

1055056840 is a wasteful number, since it uses less digits than its factorization.

1055056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21733 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 1055056840 is about 32481.6385054695. The cubic root of 1055056840 is about 1018.0254122674.

The spelling of 1055056840 in words is "one billion, fifty-five million, fifty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1291 2582 5164 6455 10328 12910 20431 25820 40862 51640 81724 102155 163448 204310 408620 817240 26376421 52752842 105505684 131882105 211011368 263764210 527528420 1055056840