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10187616 = 253106121
BaseRepresentation
bin100110110111…
…001101100000
3201011120210010
4212313031200
510102000431
61002204520
7152410335
oct46671540
921146703
1010187616
11582911a
1234b3740
13215909a
1414d298c
15d63846
hex9b7360

10187616 has 24 divisors (see below), whose sum is σ = 26742744. Its totient is φ = 3395840.

The previous prime is 10187599. The next prime is 10187647. The reversal of 10187616 is 61678101.

It is a happy number.

10187616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52965 + ... + 53156.

It is an arithmetic number, because the mean of its divisors is an integer number (1114281).

Almost surely, 210187616 is an apocalyptic number.

10187616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10187616 is an abundant number, since it is smaller than the sum of its proper divisors (16555128).

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

10187616 is a wasteful number, since it uses less digits than its factorization.

10187616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106134 (or 106126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 10187616 is about 3191.8045052916. The cubic root of 10187616 is about 216.7824842991.

The spelling of 10187616 in words is "ten million, one hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106121 212242 318363 424484 636726 848968 1273452 1697936 2546904 3395872 5093808 10187616