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13250592 = 2532139331
BaseRepresentation
bin110010100011…
…000000100000
3220221012101200
4302203000200
511343004332
61152001200
7220425315
oct62430040
926835350
1013250592
117530403
124530200
13298c2b4
141a8cd0c
15126b17c
hexca3020

13250592 has 72 divisors (see below), whose sum is σ = 38067120. Its totient is φ = 4371840.

The previous prime is 13250563. The next prime is 13250621. The reversal of 13250592 is 29505231.

It is an interprime number because it is at equal distance from previous prime (13250563) and next prime (13250621).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39867 + ... + 40197.

It is an arithmetic number, because the mean of its divisors is an integer number (528710).

Almost surely, 213250592 is an apocalyptic number.

13250592 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 13250592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033560).

13250592 is an abundant number, since it is smaller than the sum of its proper divisors (24816528).

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

13250592 is a wasteful number, since it uses less digits than its factorization.

13250592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13250592 is about 3640.1362611858. The cubic root of 13250592 is about 236.6346986731.

The spelling of 13250592 in words is "thirteen million, two hundred fifty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 331 417 556 662 834 993 1112 1251 1324 1668 1986 2224 2502 2648 2979 3336 3972 4448 5004 5296 5958 6672 7944 10008 10592 11916 13344 15888 20016 23832 31776 40032 46009 47664 92018 95328 138027 184036 276054 368072 414081 552108 736144 828162 1104216 1472288 1656324 2208432 3312648 4416864 6625296 13250592