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13137180 = 22357311009
BaseRepresentation
bin110010000111…
…010100011100
3220201102211020
4302013110130
511330342210
61145324140
7216443550
oct62072434
926642736
1013137180
117463181
124496650
13294c7a4
141a5d860
151247770
hexc8751c

13137180 has 96 divisors (see below), whose sum is σ = 43438080. Its totient is φ = 2903040.

The previous prime is 13137169. The next prime is 13137193. The reversal of 13137180 is 8173131.

It is a self number, because there is not a number n which added to its sum of digits gives 13137180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12516 + ... + 13524.

It is an arithmetic number, because the mean of its divisors is an integer number (452480).

Almost surely, 213137180 is an apocalyptic number.

13137180 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 13137180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719040).

13137180 is an abundant number, since it is smaller than the sum of its proper divisors (30300900).

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

13137180 is a wasteful number, since it uses less digits than its factorization.

13137180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 13137180 is about 3624.5247964388. The cubic root of 13137180 is about 235.9576434566.

The spelling of 13137180 in words is "thirteen million, one hundred thirty-seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1009 1085 1302 1860 2018 2170 2604 3027 3255 4036 4340 5045 6054 6510 7063 10090 12108 13020 14126 15135 20180 21189 28252 30270 31279 35315 42378 60540 62558 70630 84756 93837 105945 125116 141260 156395 187674 211890 218953 312790 375348 423780 437906 469185 625580 656859 875812 938370 1094765 1313718 1876740 2189530 2627436 3284295 4379060 6568590 13137180