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10107432 = 2332140381
BaseRepresentation
bin100110100011…
…101000101000
3201000111210100
4212203220220
510041414212
61000345400
7151624506
oct46435050
921014710
1010107432
115783955
123475260
13212b73a
1414b1676
15d49bdc
hex9a3a28

10107432 has 24 divisors (see below), whose sum is σ = 27374490. Its totient is φ = 3369120.

The previous prime is 10107421. The next prime is 10107437. The reversal of 10107432 is 23470101.

It can be written as a sum of positive squares in only one way, i.e., 6625476 + 3481956 = 2574^2 + 1866^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (10107437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70119 + ... + 70262.

Almost surely, 210107432 is an apocalyptic number.

10107432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10107432 is an abundant number, since it is smaller than the sum of its proper divisors (17267058).

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

10107432 is a wasteful number, since it uses less digits than its factorization.

10107432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140393 (or 140386 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10107432 is about 3179.2187719627. The cubic root of 10107432 is about 216.2122399460.

Adding to 10107432 its reverse (23470101), we get a palindrome (33577533).

The spelling of 10107432 in words is "ten million, one hundred seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140381 280762 421143 561524 842286 1123048 1263429 1684572 2526858 3369144 5053716 10107432