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1057697140 = 225107494251
BaseRepresentation
bin111111000010110…
…010110101110100
32201201020120201011
4333002302311310
54131232302030
6252542042004
735132164063
oct7702626564
92651216634
101057697140
114a3051575
12256279304
1313b18bbc6
14a068a1da
1562ccbb2a
hex3f0b2d74

1057697140 has 24 divisors (see below), whose sum is σ = 2241927072. Its totient is φ = 419124000.

The previous prime is 1057697119. The next prime is 1057697141. The reversal of 1057697140 is 417967501.

It is a super-2 number, since 2×10576971402 = 2237446479928359200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1057697093 and 1057697102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057697141) 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, 244986 + ... + 249265.

It is an arithmetic number, because the mean of its divisors is an integer number (93413628).

Almost surely, 21057697140 is an apocalyptic number.

1057697140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057697140 is an abundant number, since it is smaller than the sum of its proper divisors (1184229932).

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

1057697140 is a wasteful number, since it uses less digits than its factorization.

1057697140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494367 (or 494365 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1057697140 is about 32522.2560718041. The cubic root of 1057697140 is about 1018.8739142434.

The spelling of 1057697140 in words is "one billion, fifty-seven million, six hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 494251 988502 1977004 2471255 4942510 9885020 52884857 105769714 211539428 264424285 528848570 1057697140