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1057373135 = 5713233191
BaseRepresentation
bin111111000001100…
…011101111001111
32201200122010020222
4333001203233033
54131141420020
6252531101555
735126344340
oct7701435717
92650563228
101057373135
114a29500a5
122561418bb
1313b0a75a0
14a06040c7
1562c65b25
hex3f063bcf

1057373135 has 64 divisors (see below), whose sum is σ = 1641185280. Its totient is φ = 636831360.

The previous prime is 1057373131. The next prime is 1057373137. The reversal of 1057373135 is 5313737501.

It is not a de Polignac number, because 1057373135 - 22 = 1057373131 is a prime.

It is a super-2 number, since 2×10573731352 = 2236075893239456450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 1057373095 and 1057373104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057373131) 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 63 ways as a sum of consecutive naturals, for example, 5535890 + ... + 5536080.

It is an arithmetic number, because the mean of its divisors is an integer number (25643520).

Almost surely, 21057373135 is an apocalyptic number.

1057373135 is a deficient number, since it is larger than the sum of its proper divisors (583812145).

1057373135 is an equidigital number, since it uses as much as digits as its factorization.

1057373135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 35.

The square root of 1057373135 is about 32517.2744091506. The cubic root of 1057373135 is about 1018.7698661990.

The spelling of 1057373135 in words is "one billion, fifty-seven million, three hundred seventy-three thousand, one hundred thirty-five".

Divisors: 1 5 7 13 23 35 65 91 115 161 191 299 455 529 805 955 1337 1495 2093 2483 2645 3703 4393 6685 6877 10465 12167 12415 17381 18515 21965 30751 34385 48139 57109 60835 85169 86905 101039 153755 158171 240695 285545 399763 425845 505195 707273 790855 1107197 1313507 1998815 2323897 3536365 5535985 6567535 9194549 11619485 16267279 30210661 45972745 81336395 151053305 211474627 1057373135