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13325472 = 25345397
BaseRepresentation
bin110010110101…
…010010100000
3221002000010000
4302311102200
511402403342
61153340000
7221156526
oct62652240
927060100
1013325472
117581696
124567600
1329b73c4
141aac316
15128344c
hexcb54a0

13325472 has 120 divisors (see below), whose sum is σ = 40340916. Its totient is φ = 4313088.

The previous prime is 13325461. The next prime is 13325489. The reversal of 13325472 is 27452331.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 104976 = 3636^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 137328 + ... + 137424.

Almost surely, 213325472 is an apocalyptic number.

13325472 is a gapful number since it is divisible by the number (12) 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 13325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170458).

13325472 is an abundant number, since it is smaller than the sum of its proper divisors (27015444).

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

13325472 is an equidigital number, since it uses as much as digits as its factorization.

13325472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 13325472 is about 3650.4071005848. The cubic root of 13325472 is about 237.0796079308.

The spelling of 13325472 in words is "thirteen million, three hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 97 106 108 144 159 162 194 212 216 288 291 318 324 388 424 432 477 582 636 648 776 848 864 873 954 1164 1272 1296 1431 1552 1696 1746 1908 2328 2544 2592 2619 2862 3104 3492 3816 4293 4656 5088 5141 5238 5724 6984 7632 7857 8586 9312 10282 10476 11448 13968 15264 15423 15714 17172 20564 20952 22896 27936 30846 31428 34344 41128 41904 45792 46269 61692 62856 68688 82256 83808 92538 123384 125712 137376 138807 164512 185076 246768 251424 277614 370152 416421 493536 555228 740304 832842 1110456 1480608 1665684 2220912 3331368 4441824 6662736 13325472