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1056574900 = 225261173209
BaseRepresentation
bin111110111110100…
…000110110110100
32201122010120021201
4332332200312310
54130440344100
6252502022244
735116511203
oct7676406664
92648116251
101056574900
114a24553a7
12255a17984
1313ab88164
14a047723a
1562b5936a
hex3efa0db4

1056574900 has 36 divisors (see below), whose sum is σ = 2330367340. Its totient is φ = 415699200.

The previous prime is 1056574889. The next prime is 1056574901. The reversal of 1056574900 is 94756501.

It can be written as a sum of positive squares in 6 ways, for example, as 505170576 + 551404324 = 22476^2 + 23482^2 .

It is a super-2 number, since 2×10565749002 = 2232701038620020000, 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 1056574900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056574901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80505 + ... + 92704.

Almost surely, 21056574900 is an apocalyptic number.

1056574900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056574900 is an abundant number, since it is smaller than the sum of its proper divisors (1273792440).

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

1056574900 is a wasteful number, since it uses less digits than its factorization.

1056574900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173284 (or 173277 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 1056574900 is about 32504.9980772188. The cubic root of 1056574900 is about 1018.5134374884.

The spelling of 1056574900 in words is "one billion, fifty-six million, five hundred seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 173209 346418 692836 866045 1732090 3464180 4330225 8660450 10565749 17320900 21131498 42262996 52828745 105657490 211314980 264143725 528287450 1056574900