Search a number
-
+
13048830 = 2335311559
BaseRepresentation
bin110001110001…
…101111111110
3220112221122000
4301301233332
511320030310
61143403130
7215625144
oct61615776
926487560
1013048830
117402863
1244534a6
13291b502
141a39594
15122b4c0
hexc71bfe

13048830 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 3365280.

The previous prime is 13048829. The next prime is 13048831. The reversal of 13048830 is 3884031.

It is an interprime number because it is at equal distance from previous prime (13048829) and next prime (13048831).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13048794 and 13048803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13048831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7591 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 213048830 is an apocalyptic number.

13048830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13048830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

13048830 is an abundant number, since it is smaller than the sum of its proper divisors (22893570).

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

13048830 is a wasteful number, since it uses less digits than its factorization.

13048830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13048830 is about 3612.3164313222. The cubic root of 13048830 is about 235.4275000975.

The spelling of 13048830 in words is "thirteen million, forty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1559 1674 2790 3118 4185 4677 7795 8370 9354 14031 15590 23385 28062 42093 46770 48329 70155 84186 96658 140310 144987 210465 241645 289974 420930 434961 483290 724935 869922 1304883 1449870 2174805 2609766 4349610 6524415 13048830