Search a number
-
+
10097577 = 32733271
BaseRepresentation
bin100110100001…
…001110101001
3201000000021100
4212201032221
510041110302
61000232013
7151554000
oct46411651
921000240
1010097577
115777506
12346b609
1321270c9
1414abc37
15d46d1c
hex9a13a9

10097577 has 24 divisors (see below), whose sum is σ = 17014400. Its totient is φ = 5768280.

The previous prime is 10097573. The next prime is 10097587. The reversal of 10097577 is 77579001.

It is not a de Polignac number, because 10097577 - 22 = 10097573 is a prime.

It is a super-2 number, since 2×100975772 = 203922122541858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10097573) 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 23 ways as a sum of consecutive naturals, for example, 1452 + ... + 4722.

Almost surely, 210097577 is an apocalyptic number.

It is an amenable number.

10097577 is a deficient number, since it is larger than the sum of its proper divisors (6916823).

10097577 is an equidigital number, since it uses as much as digits as its factorization.

10097577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 10097577 is about 3177.6684849115. The cubic root of 10097577 is about 216.1419463074.

The spelling of 10097577 in words is "ten million, ninety-seven thousand, five hundred seventy-seven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 3271 9813 22897 29439 68691 160279 206073 480837 1121953 1442511 3365859 10097577