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10097052 = 2237711693
BaseRepresentation
bin100110100001…
…000110011100
3200222222112220
4212201012130
510041101202
61000225340
7151552320
oct46410634
920888486
1010097052
115777079
12346b250
132126ab4
1414ab980
15d46abc
hex9a119c

10097052 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 2842560.

The previous prime is 10097051. The next prime is 10097081. The reversal of 10097052 is 25079001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118 + ... + 6810.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 210097052 is an apocalyptic number.

10097052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

10097052 is an abundant number, since it is smaller than the sum of its proper divisors (17223780).

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

10097052 is a wasteful number, since it uses less digits than its factorization.

10097052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10097052 is about 3177.5858761015. The cubic root of 10097052 is about 216.1382003101.

The spelling of 10097052 in words is "ten million, ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1693 1988 2982 3386 5079 5964 6772 10158 11851 20316 23702 35553 47404 71106 120203 142212 240406 360609 480812 721218 841421 1442436 1682842 2524263 3365684 5048526 10097052