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10385964 = 2232288499
BaseRepresentation
bin100111100111…
…101000101100
3201112122212100
4213213220230
510124322324
61010335100
7154164531
oct47475054
921478770
1010385964
115954146
12358a490
1321c8454
141544d88
15da24c9
hex9e7a2c

10385964 has 18 divisors (see below), whose sum is σ = 26253500. Its totient is φ = 3461976.

The previous prime is 10385959. The next prime is 10386001. The reversal of 10385964 is 46958301.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 288499 = 10385964 / (1 + 0 + 3 + 8 + 5 + 9 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144214 + ... + 144285.

Almost surely, 210385964 is an apocalyptic number.

It is an amenable number.

10385964 is an abundant number, since it is smaller than the sum of its proper divisors (15867536).

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

10385964 is a wasteful number, since it uses less digits than its factorization.

10385964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288509 (or 288504 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10385964 is about 3222.7261751505. The cubic root of 10385964 is about 218.1803350278.

The spelling of 10385964 in words is "ten million, three hundred eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 288499 576998 865497 1153996 1730994 2596491 3461988 5192982 10385964