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10138544 = 241379617
BaseRepresentation
bin100110101011…
…001110110000
3201002002110122
4212223032300
510043413134
61001145412
7152114303
oct46531660
921062418
1010138544
1157a5269
12348b268
13213c950
1414bcb3a
15d5402e
hex9ab3b0

10138544 has 40 divisors (see below), whose sum is σ = 21456960. Its totient is φ = 4612608.

The previous prime is 10138523. The next prime is 10138547. The reversal of 10138544 is 44583101.

10138544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10138547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16124 + ... + 16740.

It is an arithmetic number, because the mean of its divisors is an integer number (536424).

Almost surely, 210138544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10138544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728480).

10138544 is an abundant number, since it is smaller than the sum of its proper divisors (11318416).

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

10138544 is a wasteful number, since it uses less digits than its factorization.

10138544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10138544 is about 3184.1080383680. The cubic root of 10138544 is about 216.4338559148.

The spelling of 10138544 in words is "ten million, one hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 617 632 1027 1234 1264 2054 2468 4108 4936 8021 8216 9872 16042 16432 32084 48743 64168 97486 128336 194972 389944 633659 779888 1267318 2534636 5069272 10138544