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10537397 = 133172557
BaseRepresentation
bin101000001100…
…100110110101
3201211100120222
4220030212311
510144144042
61013504125
7155365163
oct50144665
921740528
1010537397
115a479a2
123642045
13224c360
141584233
15dd22d2
hexa0c9b5

10537397 has 8 divisors (see below), whose sum is σ = 11388216. Its totient is φ = 9692352.

The previous prime is 10537393. The next prime is 10537409. The reversal of 10537397 is 79373501.

It can be written as a sum of positive squares in 4 ways, for example, as 130321 + 10407076 = 361^2 + 3226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10537397 - 22 = 10537393 is a prime.

It is a super-2 number, since 2×105373972 = 222073471071218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2843 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (1423527).

Almost surely, 210537397 is an apocalyptic number.

It is an amenable number.

10537397 is a deficient number, since it is larger than the sum of its proper divisors (850819).

10537397 is a wasteful number, since it uses less digits than its factorization.

10537397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 10537397 is about 3246.1357026471. The cubic root of 10537397 is about 219.2356186125.

The spelling of 10537397 in words is "ten million, five hundred thirty-seven thousand, three hundred ninety-seven".

Divisors: 1 13 317 2557 4121 33241 810569 10537397