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1056811900 = 225241383673
BaseRepresentation
bin111110111111011…
…010101101111100
32201122120121101111
4332333122231330
54131020440100
6252511051404
735121516154
oct7677325574
92648517344
101056811900
114a25a7471
12255b10b64
1313ac3bcb1
14a04d9764
1562ba46ba
hex3efdab7c

1056811900 has 72 divisors (see below), whose sum is σ = 2358849024. Its totient is φ = 410726400.

The previous prime is 1056811897. The next prime is 1056811909. The reversal of 1056811900 is 91186501.

It is a super-2 number, since 2×10568119002 = 2233702783963220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056811909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569964 + ... + 1570636.

It is an arithmetic number, because the mean of its divisors is an integer number (32761792).

Almost surely, 21056811900 is an apocalyptic number.

1056811900 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 1056811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179424512).

1056811900 is an abundant number, since it is smaller than the sum of its proper divisors (1302037124).

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

1056811900 is a wasteful number, since it uses less digits than its factorization.

1056811900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 1056811900 is about 32508.6434660076. The cubic root of 1056811900 is about 1018.5895859433.

The spelling of 1056811900 in words is "one billion, fifty-six million, eight hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 383 410 673 766 820 1025 1346 1532 1915 2050 2692 3365 3830 4100 6730 7660 9575 13460 15703 16825 19150 27593 31406 33650 38300 55186 62812 67300 78515 110372 137965 157030 257759 275930 314060 392575 515518 551860 689825 785150 1031036 1288795 1379650 1570300 2577590 2759300 5155180 6443975 10568119 12887950 21136238 25775900 42272476 52840595 105681190 211362380 264202975 528405950 1056811900