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1056054010 = 2511194391151
BaseRepresentation
bin111110111100100…
…001101011111010
32201121011002202111
4332330201223322
54130322212020
6252442522534
735112211444
oct7674415372
92647132674
101056054010
114a212a010
1225580644a
1313aa3503b
14a037d494
1562aa4d5a
hex3ef21afa

1056054010 has 64 divisors (see below), whose sum is σ = 2189721600. Its totient is φ = 362664000.

The previous prime is 1056054007. The next prime is 1056054019. The reversal of 1056054010 is 104506501.

It is a super-2 number, since 2×10560540102 = 2230500144074160200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1056054019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916935 + ... + 918085.

It is an arithmetic number, because the mean of its divisors is an integer number (34214400).

Almost surely, 21056054010 is an apocalyptic number.

1056054010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1056054010 is an abundant number, since it is smaller than the sum of its proper divisors (1133667590).

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

1056054010 is a wasteful number, since it uses less digits than its factorization.

1056054010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1056054010 is about 32496.9846293468. The cubic root of 1056054010 is about 1018.3460347255.

The spelling of 1056054010 in words is "one billion, fifty-six million, fifty-four thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 439 878 1045 1151 2090 2195 2302 4390 4829 5755 8341 9658 11510 12661 16682 21869 24145 25322 41705 43738 48290 63305 83410 91751 109345 126610 183502 218690 240559 458755 481118 505289 917510 1010578 1202795 2405590 2526445 5052890 5558179 9600491 11116358 19200982 27790895 48002455 55581790 96004910 105605401 211210802 528027005 1056054010