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13692240 = 243452113
BaseRepresentation
bin110100001110…
…110101010000
3221202122020000
4310032311100
512001122430
61205250000
7224245032
oct64166520
927678200
1013692240
117802201
124703900
132ab5323
141b65c52
151306e60
hexd0ed50

13692240 has 100 divisors (see below), whose sum is σ = 47577684. Its totient is φ = 3649536.

The previous prime is 13692233. The next prime is 13692271. The reversal of 13692240 is 4229631.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 12194064 = 1224^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 5424 + ... + 7536.

Almost surely, 213692240 is an apocalyptic number.

13692240 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 13692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788842).

13692240 is an abundant number, since it is smaller than the sum of its proper divisors (33885444).

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

13692240 is a wasteful number, since it uses less digits than its factorization.

13692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13692240 is about 3700.3026903214. The cubic root of 13692240 is about 239.2350645643.

The spelling of 13692240 in words is "thirteen million, six hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2113 2160 3240 4226 6339 6480 8452 10565 12678 16904 19017 21130 25356 31695 33808 38034 42260 50712 57051 63390 76068 84520 95085 101424 114102 126780 152136 169040 171153 190170 228204 253560 285255 304272 342306 380340 456408 507120 570510 684612 760680 855765 912816 1141020 1369224 1521360 1711530 2282040 2738448 3423060 4564080 6846120 13692240