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1056210920 = 235315914437
BaseRepresentation
bin111110111101000…
…111111111101000
32201121110001222222
4332331013333220
54130342222140
6252450133212
735113434062
oct7675077750
92647401888
101056210920
114a2226996
12255881208
1313aa8b59b
14a03c0732
1562ad65b5
hex3ef47fe8

1056210920 has 64 divisors (see below), whose sum is σ = 2494886400. Its totient is φ = 401898240.

The previous prime is 1056210863. The next prime is 1056210937. The reversal of 1056210920 is 290126501.

It is a super-2 number, since 2×10562109202 = 2231163015054492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056210920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65942 + ... + 80378.

It is an arithmetic number, because the mean of its divisors is an integer number (38982600).

Almost surely, 21056210920 is an apocalyptic number.

1056210920 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 1056210920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247443200).

1056210920 is an abundant number, since it is smaller than the sum of its proper divisors (1438675480).

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

1056210920 is a wasteful number, since it uses less digits than its factorization.

1056210920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1056210920 is about 32499.3987636695. The cubic root of 1056210920 is about 1018.3964679930.

The spelling of 1056210920 in words is "one billion, fifty-six million, two hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2360 3658 7316 9145 14437 14632 18290 28874 36580 57748 72185 73160 115496 144370 288740 447547 577480 851783 895094 1703566 1790188 2237735 3407132 3580376 4258915 4475470 6814264 8517830 8950940 17035660 17901880 26405273 34071320 52810546 105621092 132026365 211242184 264052730 528105460 1056210920