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16329924 = 2234133877
BaseRepresentation
bin111110010010…
…110011000100
31010201122110000
4332102303010
513140024144
61342001300
7255542052
oct76226304
933648400
1016329924
119243a06
125576230
1334c9aa0
1422511d2
151678769
hexf92cc4

16329924 has 60 divisors (see below), whose sum is σ = 45985324. Its totient is φ = 5023296.

The previous prime is 16329899. The next prime is 16329941. The reversal of 16329924 is 42992361.

16329924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 13089924 = 1800^2 + 3618^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2274 + ... + 6150.

Almost surely, 216329924 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 16329924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992662).

16329924 is an abundant number, since it is smaller than the sum of its proper divisors (29655400).

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

16329924 is a wasteful number, since it uses less digits than its factorization.

16329924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3895 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 16329924 is about 4041.0300667033. The cubic root of 16329924 is about 253.7044322715.

The spelling of 16329924 in words is "sixteen million, three hundred twenty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 3877 4212 7754 11631 15508 23262 34893 46524 50401 69786 100802 104679 139572 151203 201604 209358 302406 314037 418716 453609 604812 628074 907218 1256148 1360827 1814436 2721654 4082481 5443308 8164962 16329924