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13120032 = 253197193
BaseRepresentation
bin110010000011…
…001000100000
3220200120022010
4302003020200
511324320112
61145112520
7216342552
oct62031040
926616263
1013120032
117451302
124488740
132944a43
141a574d2
15124263c
hexc83220

13120032 has 48 divisors (see below), whose sum is σ = 36257760. Its totient is φ = 4142592.

The previous prime is 13119983. The next prime is 13120057. The reversal of 13120032 is 23002131.

13120032 = T1703 + T1704 + ... + T1711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773 + ... + 5420.

It is an arithmetic number, because the mean of its divisors is an integer number (755370).

Almost surely, 213120032 is an apocalyptic number.

13120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120032 is an abundant number, since it is smaller than the sum of its proper divisors (23137728).

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

13120032 is a wasteful number, since it uses less digits than its factorization.

13120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13120032 is about 3622.1584725133. The cubic root of 13120032 is about 235.8549333505.

Adding to 13120032 its reverse (23002131), we get a palindrome (36122163).

The spelling of 13120032 in words is "thirteen million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7193 14386 21579 28772 43158 57544 86316 115088 136667 172632 230176 273334 345264 410001 546668 690528 820002 1093336 1640004 2186672 3280008 4373344 6560016 13120032