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10189764 = 22321321773
BaseRepresentation
bin100110110111…
…101111000100
3201011200201200
4212313233010
510102033024
61002222500
7152416524
oct46675704
921150650
1010189764
11582a7a2
1234b4a30
13215a060
1414d3684
15d642c9
hex9b7bc4

10189764 has 36 divisors (see below), whose sum is σ = 27740076. Its totient is φ = 3135168.

The previous prime is 10189747. The next prime is 10189769. The reversal of 10189764 is 46798101.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 8749764 = 1200^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10189769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10419 + ... + 11354.

Almost surely, 210189764 is an apocalyptic number.

It is an amenable number.

10189764 is an abundant number, since it is smaller than the sum of its proper divisors (17550312).

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

10189764 is a wasteful number, since it uses less digits than its factorization.

10189764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21796 (or 21791 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10189764 is about 3192.1409743306. The cubic root of 10189764 is about 216.7977190067.

The spelling of 10189764 in words is "ten million, one hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21773 43546 65319 87092 130638 195957 261276 283049 391914 566098 783828 849147 1132196 1698294 2547441 3396588 5094882 10189764