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10188140 = 225659773
BaseRepresentation
bin100110110111…
…010101101100
3201011121111112
4212313111230
510102010030
61002211152
7152412014
oct46672554
921147445
1010188140
115829556
1234b3ab8
1321593b1
1414d2c44
15d63a95
hex9b756c

10188140 has 24 divisors (see below), whose sum is σ = 21455280. Its totient is φ = 4063808.

The previous prime is 10188133. The next prime is 10188163. The reversal of 10188140 is 4188101.

10188140 = 11252 + 11262 + ... + 11322.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12794 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (893970).

Almost surely, 210188140 is an apocalyptic number.

10188140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10188140 is an abundant number, since it is smaller than the sum of its proper divisors (11267140).

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

10188140 is a wasteful number, since it uses less digits than its factorization.

10188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 10188140 is about 3191.8865894640. The cubic root of 10188140 is about 216.7862009708.

The spelling of 10188140 in words is "ten million, one hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 659 773 1318 1546 2636 3092 3295 3865 6590 7730 13180 15460 509407 1018814 2037628 2547035 5094070 10188140