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13090032 = 2433157193
BaseRepresentation
bin110001111011…
…110011110000
3220122001011000
4301323303300
511322340112
61144322000
7216156234
oct61736360
926561130
1013090032
11743080a
124473300
1329341a7
141a4a5c4
1512387dc
hexc7bcf0

13090032 has 80 divisors (see below), whose sum is σ = 38008480. Its totient is φ = 4313088.

The previous prime is 13090027. The next prime is 13090037. The reversal of 13090032 is 23009031.

It is an interprime number because it is at equal distance from previous prime (13090027) and next prime (13090037).

It is a super-2 number, since 2×130900322 = 342697875522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13089987 and 13090014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13090037) 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, 67728 + ... + 67920.

It is an arithmetic number, because the mean of its divisors is an integer number (475106).

Almost surely, 213090032 is an apocalyptic number.

13090032 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 13090032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004240).

13090032 is an abundant number, since it is smaller than the sum of its proper divisors (24918448).

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

13090032 is a wasteful number, since it uses less digits than its factorization.

13090032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13090032 is about 3618.0149253423. The cubic root of 13090032 is about 235.6750291177.

Adding to 13090032 its reverse (23009031), we get a palindrome (36099063).

The spelling of 13090032 in words is "thirteen million, ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 193 216 314 386 432 471 579 628 772 942 1158 1256 1413 1544 1737 1884 2316 2512 2826 3088 3474 3768 4239 4632 5211 5652 6948 7536 8478 9264 10422 11304 13896 16956 20844 22608 27792 30301 33912 41688 60602 67824 83376 90903 121204 181806 242408 272709 363612 484816 545418 727224 818127 1090836 1454448 1636254 2181672 3272508 4363344 6545016 13090032