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10097136 = 24357253
BaseRepresentation
bin100110100001…
…000111110000
3200222222200000
4212201013300
510041102021
61000230000
7151552500
oct46410760
920888600
1010097136
115777145
12346b300
132126b4a
1414aba00
15d46b26
hex9a11f0

10097136 has 180 divisors, whose sum is σ = 34732152. Its totient is φ = 2830464.

The previous prime is 10097119. The next prime is 10097137. The reversal of 10097136 is 63179001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190486 + ... + 190538.

Almost surely, 210097136 is an apocalyptic number.

10097136 is a gapful number since it is divisible by the number (16) 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 10097136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

10097136 is an abundant number, since it is smaller than the sum of its proper divisors (24635016).

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

10097136 is an equidigital number, since it uses as much as digits as its factorization.

10097136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10097136 is about 3177.5990936555. The cubic root of 10097136 is about 216.1387996783.

The spelling of 10097136 in words is "ten million, ninety-seven thousand, one hundred thirty-six".