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13087380 = 2235593697
BaseRepresentation
bin110001111011…
…001010010100
3220121220111210
4301323022110
511322244010
61144301420
7216145425
oct61731224
926556453
1013087380
117429819
124471870
132932c17
141a4964c
151237b20
hexc7b294

13087380 has 48 divisors (see below), whose sum is σ = 37275840. Its totient is φ = 3429888.

The previous prime is 13087379. The next prime is 13087387. The reversal of 13087380 is 8378031.

13087380 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087387) 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, 1692 + ... + 5388.

It is an arithmetic number, because the mean of its divisors is an integer number (776580).

Almost surely, 213087380 is an apocalyptic number.

13087380 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 13087380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637920).

13087380 is an abundant number, since it is smaller than the sum of its proper divisors (24188460).

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

13087380 is a wasteful number, since it uses less digits than its factorization.

13087380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13087380 is about 3617.6484074603. The cubic root of 13087380 is about 235.6591123654.

The spelling of 13087380 in words is "thirteen million, eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 3697 7394 11091 14788 18485 22182 36970 44364 55455 73940 110910 218123 221820 436246 654369 872492 1090615 1308738 2181230 2617476 3271845 4362460 6543690 13087380