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13089520 = 2451311249
BaseRepresentation
bin110001111011…
…101011110000
3220122000110001
4301323223300
511322331040
61144315344
7216154603
oct61735360
926560401
1013089520
117430394
124472b54
132933ba2
141a4a33a
15123859a
hexc7baf0

13089520 has 40 divisors (see below), whose sum is σ = 30690000. Its totient is φ = 5191680.

The previous prime is 13089493. The next prime is 13089521. The reversal of 13089520 is 2598031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13089521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9856 + ... + 11104.

It is an arithmetic number, because the mean of its divisors is an integer number (767250).

Almost surely, 213089520 is an apocalyptic number.

13089520 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 13089520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345000).

13089520 is an abundant number, since it is smaller than the sum of its proper divisors (17600480).

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

13089520 is a wasteful number, since it uses less digits than its factorization.

13089520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 13089520 is about 3617.9441676178. The cubic root of 13089520 is about 235.6719563677.

The spelling of 13089520 in words is "thirteen million, eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1249 1310 2096 2498 2620 4996 5240 6245 9992 10480 12490 19984 24980 49960 99920 163619 327238 654476 818095 1308952 1636190 2617904 3272380 6544760 13089520