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10386864 = 2432174243
BaseRepresentation
bin100111100111…
…110110110000
3201112201002200
4213213312300
510124334424
61010343200
7154200255
oct47476660
921481080
1010386864
115954894
12358ab00
1321c8997
14154542c
15da28c9
hex9e7db0

10386864 has 60 divisors (see below), whose sum is σ = 30785976. Its totient is φ = 3257856.

The previous prime is 10386853. The next prime is 10386877. The reversal of 10386864 is 46868301.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327 + ... + 4569.

Almost surely, 210386864 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 10386864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15392988).

10386864 is an abundant number, since it is smaller than the sum of its proper divisors (20399112).

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

10386864 is a wasteful number, since it uses less digits than its factorization.

10386864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10386864 is about 3222.8658054595. The cubic root of 10386864 is about 218.1866370148.

The spelling of 10386864 in words is "ten million, three hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4243 8486 12729 16972 25458 33944 38187 50916 67888 72131 76374 101832 144262 152748 203664 216393 288524 305496 432786 577048 610992 649179 865572 1154096 1298358 1731144 2596716 3462288 5193432 10386864