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13325976 = 2332593137
BaseRepresentation
bin110010110101…
…011010011000
3221002000210200
4302311122120
511402412401
61153342200
7221161146
oct62653230
927060720
1013325976
117582004
124567960
1329b76c1
141aac596
151283686
hexcb5698

13325976 has 48 divisors (see below), whose sum is σ = 36714600. Its totient is φ = 4365312.

The previous prime is 13325971. The next prime is 13326029. The reversal of 13325976 is 67952331.

13325976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13325976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 5816.

Almost surely, 213325976 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 13325976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357300).

13325976 is an abundant number, since it is smaller than the sum of its proper divisors (23388624).

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

13325976 is a wasteful number, since it uses less digits than its factorization.

13325976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3201 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13325976 is about 3650.4761333284. The cubic root of 13325976 is about 237.0825968584.

The spelling of 13325976 in words is "thirteen million, three hundred twenty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 3137 4248 6274 9411 12548 18822 25096 28233 37644 56466 75288 112932 185083 225864 370166 555249 740332 1110498 1480664 1665747 2220996 3331494 4441992 6662988 13325976