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13084380 = 22325157463
BaseRepresentation
bin110001111010…
…011011011100
3220121202101200
4301322123130
511322200010
61144235500
7216133611
oct61723334
926552350
1013084380
117427541
12446bb90
13293174a
141a48508
151236cc0
hexc7a6dc

13084380 has 72 divisors (see below), whose sum is σ = 40028352. Its totient is φ = 3459456.

The previous prime is 13084361. The next prime is 13084381. The reversal of 13084380 is 8348031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28029 + ... + 28491.

Almost surely, 213084380 is an apocalyptic number.

13084380 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 13084380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014176).

13084380 is an abundant number, since it is smaller than the sum of its proper divisors (26943972).

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

13084380 is a wasteful number, since it uses less digits than its factorization.

13084380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13084380 is about 3617.2337497043. The cubic root of 13084380 is about 235.6411043973.

The spelling of 13084380 in words is "thirteen million, eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 463 471 628 785 926 942 1389 1413 1570 1852 1884 2315 2355 2778 2826 3140 4167 4630 4710 5556 5652 6945 7065 8334 9260 9420 13890 14130 16668 20835 27780 28260 41670 72691 83340 145382 218073 290764 363455 436146 654219 726910 872292 1090365 1308438 1453820 2180730 2616876 3271095 4361460 6542190 13084380