Search a number
-
+
10164544 = 261319643
BaseRepresentation
bin100110110001…
…100101000000
3201010102010121
4212301211000
510100231134
61001510024
7152253145
oct46614500
921112117
1010164544
115812855
1234a2314
13214b730
1414c83cc
15d5bab4
hex9b1940

10164544 has 56 divisors (see below), whose sum is σ = 22900640. Its totient is φ = 4437504.

The previous prime is 10164541. The next prime is 10164571. The reversal of 10164544 is 44546101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164541) 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, 15487 + ... + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (408940).

Almost surely, 210164544 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 10164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450320).

10164544 is an abundant number, since it is smaller than the sum of its proper divisors (12736096).

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

10164544 is a wasteful number, since it uses less digits than its factorization.

10164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 10164544 is about 3188.1882002165. The cubic root of 10164544 is about 216.6187107540.

The spelling of 10164544 in words is "ten million, one hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 643 832 988 1216 1286 1976 2572 3952 5144 7904 8359 10288 12217 15808 16718 20576 24434 33436 41152 48868 66872 97736 133744 158821 195472 267488 317642 390944 534976 635284 781888 1270568 2541136 5082272 10164544