Search a number
-
+
13283136 = 26337687
BaseRepresentation
bin110010101010…
…111101000000
3220222212001000
4302222331000
511400030021
61152412000
7220622226
oct62527500
926885030
1013283136
1175528a9
124547000
1329a1059
141a9ab16
151275b26
hexcaaf40

13283136 has 56 divisors (see below), whose sum is σ = 39055040. Its totient is φ = 4427136.

The previous prime is 13283107. The next prime is 13283143. The reversal of 13283136 is 63138231.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 2116 + ... + 5571.

Almost surely, 213283136 is an apocalyptic number.

13283136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13283136 is an abundant number, since it is smaller than the sum of its proper divisors (25771904).

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

13283136 is an equidigital number, since it uses as much as digits as its factorization.

13283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7692 counting only the distinct ones).

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

The square root of 13283136 is about 3644.6036821580. The cubic root of 13283136 is about 236.8282684782.

The spelling of 13283136 in words is "thirteen million, two hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 7687 15374 23061 30748 46122 61496 69183 92244 122992 138366 184488 207549 245984 276732 368976 415098 491968 553464 737952 830196 1106928 1475904 1660392 2213856 3320784 4427712 6641568 13283136