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10157357 = 72207293
BaseRepresentation
bin100110101111…
…110100101101
3201010001021102
4212233310231
510100013412
61001412445
7152223200
oct46576455
921101242
1010157357
115808411
12349a125
132148392
1414c5937
15d598c2
hex9afd2d

10157357 has 6 divisors (see below), whose sum is σ = 11815758. Its totient is φ = 8706264.

The previous prime is 10157353. The next prime is 10157363. The reversal of 10157357 is 75375101.

It can be written as a sum of positive squares in only one way, i.e., 8934121 + 1223236 = 2989^2 + 1106^2 .

It is not a de Polignac number, because 10157357 - 22 = 10157353 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103598 + ... + 103695.

It is an arithmetic number, because the mean of its divisors is an integer number (1969293).

Almost surely, 210157357 is an apocalyptic number.

It is an amenable number.

10157357 is a deficient number, since it is larger than the sum of its proper divisors (1658401).

10157357 is an equidigital number, since it uses as much as digits as its factorization.

10157357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207307 (or 207300 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 10157357 is about 3187.0608717124. The cubic root of 10157357 is about 216.5676441658.

The spelling of 10157357 in words is "ten million, one hundred fifty-seven thousand, three hundred fifty-seven".

Divisors: 1 7 49 207293 1451051 10157357