Search a number
-
+
13374738 = 2321361937
BaseRepresentation
bin110011000001…
…010100010010
3221011111200200
4303001110102
511410442423
61154400030
7221453256
oct63012422
927144620
1013374738
117605703
124590016
132a03960
141ac2266
151292d43
hexcc1512

13374738 has 48 divisors (see below), whose sum is σ = 31753176. Its totient is φ = 4043520.

The previous prime is 13374737. The next prime is 13374773. The reversal of 13374738 is 83747331.

It can be written as a sum of positive squares in 4 ways, for example, as 2064969 + 11309769 = 1437^2 + 3363^2 .

It is not an unprimeable number, because it can be changed into a prime (13374731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13806 + ... + 14742.

Almost surely, 213374738 is an apocalyptic number.

13374738 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 13374738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876588).

13374738 is an abundant number, since it is smaller than the sum of its proper divisors (18378438).

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

13374738 is a wasteful number, since it uses less digits than its factorization.

13374738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1016 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 13374738 is about 3657.1488895040. The cubic root of 13374738 is about 237.3714199667.

The spelling of 13374738 in words is "thirteen million, three hundred seventy-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 937 1098 1586 1874 2379 2811 4758 5622 7137 8433 12181 14274 16866 24362 36543 57157 73086 109629 114314 171471 219258 342942 514413 743041 1028826 1486082 2229123 4458246 6687369 13374738