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12713480 = 23513231063
BaseRepresentation
bin110000011111…
…111000001000
3212220220121122
4300133320020
511223312410
61132254412
7213030353
oct60377010
925826548
1012713480
1171a390a
124311408
132831990
14198d29a
1511b1e55
hexc1fe08

12713480 has 64 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4485888.

The previous prime is 12713447. The next prime is 12713507. The reversal of 12713480 is 8431721.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 11429 + ... + 12491.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 212713480 is an apocalyptic number.

12713480 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 12713480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12713480 is an abundant number, since it is smaller than the sum of its proper divisors (19461880).

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

12713480 is a wasteful number, since it uses less digits than its factorization.

12713480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12713480 is about 3565.5967242525. The cubic root of 12713480 is about 233.3931728612.

The spelling of 12713480 in words is "twelve million, seven hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1063 1196 1495 2126 2392 2990 4252 5315 5980 8504 10630 11960 13819 21260 24449 27638 42520 48898 55276 69095 97796 110552 122245 138190 195592 244490 276380 317837 488980 552760 635674 977960 1271348 1589185 2542696 3178370 6356740 12713480