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13740738 = 2311613413
BaseRepresentation
bin110100011010…
…101011000010
3221212002202020
4310122223002
512004200423
61210302310
7224536314
oct64325302
927762666
1013740738
117835690
124727996
132b0141b
141b797b4
1513164e3
hexd1aac2

13740738 has 32 divisors (see below), whose sum is σ = 30480192. Its totient is φ = 4094400.

The previous prime is 13740703. The next prime is 13740739. The reversal of 13740738 is 83704731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13740699 and 13740708.

It is not an unprimeable number, because it can be changed into a prime (13740739) 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, 2320 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (952506).

Almost surely, 213740738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13740738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240096).

13740738 is an abundant number, since it is smaller than the sum of its proper divisors (16739454).

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

13740738 is a wasteful number, since it uses less digits than its factorization.

13740738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 13740738 is about 3706.8501453390. The cubic root of 13740738 is about 239.5171890970.

Multiplying 13740738 by its sum of digits (33), we get a palindrome (453444354).

The spelling of 13740738 in words is "thirteen million, seven hundred forty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1342 2013 3413 4026 6826 10239 20478 37543 75086 112629 208193 225258 416386 624579 1249158 2290123 4580246 6870369 13740738