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13380180 = 22351121997
BaseRepresentation
bin110011000010…
…101001010100
3221011210011020
4303002221110
511411131210
61154441140
7221505162
oct63025124
927153136
1013380180
117609800
1245931b0
132a06288
141ac4232
151294770
hexcc2a54

13380180 has 144 divisors (see below), whose sum is σ = 43794240. Its totient is φ = 3041280.

The previous prime is 13380179. The next prime is 13380193. The reversal of 13380180 is 8108331.

It is a self number, because there is not a number n which added to its sum of digits gives 13380180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137892 + ... + 137988.

Almost surely, 213380180 is an apocalyptic number.

13380180 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 13380180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897120).

13380180 is an abundant number, since it is smaller than the sum of its proper divisors (30414060).

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

13380180 is a wasteful number, since it uses less digits than its factorization.

13380180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13380180 is about 3657.8928360465. The cubic root of 13380180 is about 237.4036100080.

The spelling of 13380180 in words is "thirteen million, three hundred eighty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 97 110 114 121 132 165 190 194 209 220 228 242 285 291 330 363 380 388 418 484 485 570 582 605 627 660 726 836 970 1045 1067 1140 1164 1210 1254 1452 1455 1815 1843 1940 2090 2134 2299 2420 2508 2910 3135 3201 3630 3686 4180 4268 4598 5335 5529 5820 6270 6402 6897 7260 7372 9196 9215 10670 11058 11495 11737 12540 12804 13794 16005 18430 20273 21340 22116 22990 23474 27588 27645 32010 34485 35211 36860 40546 45980 46948 55290 58685 60819 64020 68970 70422 81092 101365 110580 117370 121638 137940 140844 176055 202730 223003 234740 243276 304095 352110 405460 446006 608190 669009 704220 892012 1115015 1216380 1338018 2230030 2676036 3345045 4460060 6690090 13380180