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13142580 = 22351119913
BaseRepresentation
bin110010001000…
…101000110100
3220201201020020
4302020220310
511331030310
61145405140
7216465363
oct62105064
926651206
1013142580
117467240
1244997b0
132952099
141a617da
151249170
hexc88a34

13142580 has 48 divisors (see below), whose sum is σ = 40146624. Its totient is φ = 3185920.

The previous prime is 13142579. The next prime is 13142593. The reversal of 13142580 is 8524131.

It is a self number, because there is not a number n which added to its sum of digits gives 13142580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9297 + ... + 10616.

It is an arithmetic number, because the mean of its divisors is an integer number (836388).

Almost surely, 213142580 is an apocalyptic number.

13142580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142580 is an abundant number, since it is smaller than the sum of its proper divisors (27004044).

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

13142580 is a wasteful number, since it uses less digits than its factorization.

13142580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19936 (or 19934 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13142580 is about 3625.2696451437. The cubic root of 13142580 is about 235.9899689311.

The spelling of 13142580 in words is "thirteen million, one hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 19913 39826 59739 79652 99565 119478 199130 219043 238956 298695 398260 438086 597390 657129 876172 1095215 1194780 1314258 2190430 2628516 3285645 4380860 6571290 13142580