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13307058 = 233832969
BaseRepresentation
bin110010110000…
…110010110010
3221001001212000
4302300302302
511401311213
61153114430
7221052042
oct62606262
927031760
1013307058
117569876
124558a16
1329abbcb
141aa5722
15127cc73
hexcb0cb2

13307058 has 32 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4380768.

The previous prime is 13307057. The next prime is 13307059. The reversal of 13307058 is 85070331.

It is an interprime number because it is at equal distance from previous prime (13307057) and next prime (13307059).

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

It is not an unprimeable number, because it can be changed into a prime (13307051) by changing a digit.

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, 2998 + ... + 5966.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 213307058 is an apocalyptic number.

13307058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13307058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

13307058 is an abundant number, since it is smaller than the sum of its proper divisors (16630542).

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

13307058 is a wasteful number, since it uses less digits than its factorization.

13307058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13307058 is about 3647.8840442097. The cubic root of 13307058 is about 236.9703536062.

Adding to 13307058 its reverse (85070331), we get a palindrome (98377389).

The spelling of 13307058 in words is "thirteen million, three hundred seven thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 2969 4482 5938 8907 17814 26721 53442 80163 160326 246427 492854 739281 1478562 2217843 4435686 6653529 13307058