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13320180 = 22335171451
BaseRepresentation
bin110010110011…
…111111110100
3221001201212000
4302303333310
511402221210
61153255300
7221135226
oct62637764
927051760
1013320180
117578715
124564530
1329b4b83
141aaa416
151281ac0
hexcb3ff4

13320180 has 96 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3340800.

The previous prime is 13320169. The next prime is 13320191. The reversal of 13320180 is 8102331.

It is an interprime number because it is at equal distance from previous prime (13320169) and next prime (13320191).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8455 + ... + 9905.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 213320180 is an apocalyptic number.

13320180 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 13320180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

13320180 is an abundant number, since it is smaller than the sum of its proper divisors (30588300).

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

13320180 is a wasteful number, since it uses less digits than its factorization.

13320180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13320180 is about 3649.6821779437. The cubic root of 13320180 is about 237.0482196391.

The spelling of 13320180 in words is "thirteen million, three hundred twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1451 1530 1836 2295 2902 3060 4353 4590 5804 7255 8706 9180 13059 14510 17412 21765 24667 26118 29020 39177 43530 49334 52236 65295 74001 78354 87060 98668 123335 130590 148002 156708 195885 222003 246670 261180 296004 370005 391770 444006 493340 666009 740010 783540 888012 1110015 1332018 1480020 2220030 2664036 3330045 4440060 6660090 13320180