Search a number
-
+
10132884 = 2233175519
BaseRepresentation
bin100110101001…
…110110010100
3201001210201000
4212221312110
510043223014
61001103300
7152061636
oct46516624
921053630
1010132884
1157a0a93
123487b30
13213a1b8
1414baa56
15d52509
hex9a9d94

10132884 has 48 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 3178368.

The previous prime is 10132873. The next prime is 10132921. The reversal of 10132884 is 48823101.

10132884 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 210132884 is an apocalyptic number.

It is an amenable number.

10132884 is an abundant number, since it is smaller than the sum of its proper divisors (17687916).

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

10132884 is a wasteful number, since it uses less digits than its factorization.

10132884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10132884 is about 3183.2191253509. The cubic root of 10132884 is about 216.3935725612.

Adding to 10132884 its reverse (48823101), we get a palindrome (58955985).

The spelling of 10132884 in words is "ten million, one hundred thirty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 5519 11038 16557 22076 33114 49671 66228 93823 99342 149013 187646 198684 281469 298026 375292 562938 596052 844407 1125876 1688814 2533221 3377628 5066442 10132884