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13372320 = 2535132143
BaseRepresentation
bin110011000000…
…101110100000
3221011101101010
4303000232200
511410403240
61154340520
7221443233
oct63005640
927141333
1013372320
117603905
12458a740
132a02820
141ac141a
151292280
hexcc0ba0

13372320 has 96 divisors (see below), whose sum is σ = 45384192. Its totient is φ = 3290112.

The previous prime is 13372309. The next prime is 13372321. The reversal of 13372320 is 2327331.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13372321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5169 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (472752).

Almost surely, 213372320 is an apocalyptic number.

13372320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692096).

13372320 is an abundant number, since it is smaller than the sum of its proper divisors (32011872).

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

13372320 is a wasteful number, since it uses less digits than its factorization.

13372320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 13372320 is about 3656.8182891689. The cubic root of 13372320 is about 237.3571144233.

Adding to 13372320 its reverse (2327331), we get a palindrome (15699651).

The spelling of 13372320 in words is "thirteen million, three hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 2143 3120 4286 6240 6429 8572 10715 12858 17144 21430 25716 27859 32145 34288 42860 51432 55718 64290 68576 83577 85720 102864 111436 128580 139295 167154 171440 205728 222872 257160 278590 334308 342880 417885 445744 514320 557180 668616 835770 891488 1028640 1114360 1337232 1671540 2228720 2674464 3343080 4457440 6686160 13372320