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13059048 = 233292647
BaseRepresentation
bin110001110100…
…001111101000
3220120110122110
4301310033220
511320342143
61143522320
7216000012
oct61641750
926513573
1013059048
11740a502
1244593a0
132923062
141a3d1b2
15122e533
hexc743e8

13059048 has 48 divisors (see below), whose sum is σ = 33864480. Its totient is φ = 4196416.

The previous prime is 13059047. The next prime is 13059049. The reversal of 13059048 is 84095031.

13059048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13059047) and next prime (13059049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13059047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19861 + ... + 20507.

It is an arithmetic number, because the mean of its divisors is an integer number (705510).

Almost surely, 213059048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13059048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932240).

13059048 is an abundant number, since it is smaller than the sum of its proper divisors (20805432).

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

13059048 is a wasteful number, since it uses less digits than its factorization.

13059048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13059048 is about 3613.7304824793. The cubic root of 13059048 is about 235.4889352495.

The spelling of 13059048 in words is "thirteen million, fifty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 647 696 841 1294 1682 1941 2523 2588 3364 3882 5046 5176 6728 7764 10092 15528 18763 20184 37526 56289 75052 112578 150104 225156 450312 544127 1088254 1632381 2176508 3264762 4353016 6529524 13059048