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13692280 = 235779619
BaseRepresentation
bin110100001110…
…110101111000
3221202122021111
4310032311320
512001123110
61205250104
7224245120
oct64166570
927678244
1013692280
117802238
124703934
132ab5354
141b65c80
151306e8a
hexd0ed78

13692280 has 64 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 4627584.

The previous prime is 13692277. The next prime is 13692281. The reversal of 13692280 is 8229631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13692281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21811 + ... + 22429.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 213692280 is an apocalyptic number.

13692280 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 13692280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

13692280 is an abundant number, since it is smaller than the sum of its proper divisors (22019720).

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

13692280 is a wasteful number, since it uses less digits than its factorization.

13692280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 13692280 is about 3700.3080952807. The cubic root of 13692280 is about 239.2352975282.

It can be divided in two parts, 136 and 92280, that added together give a square (92416 = 3042).

The spelling of 13692280 in words is "thirteen million, six hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 619 632 790 1106 1238 1580 2212 2476 2765 3095 3160 4333 4424 4952 5530 6190 8666 11060 12380 17332 21665 22120 24760 34664 43330 48901 86660 97802 173320 195604 244505 342307 391208 489010 684614 978020 1369228 1711535 1956040 2738456 3423070 6846140 13692280