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13741364 = 2272135393
BaseRepresentation
bin110100011010…
…110100110100
3221212010121102
4310122310310
512004210424
61210305232
7224541200
oct64326464
927763542
1013741364
1178360aa
124728218
132b017b0
141b79b00
1513167ae
hexd1ad34

13741364 has 36 divisors (see below), whose sum is σ = 30130884. Its totient is φ = 5435136.

The previous prime is 13741349. The next prime is 13741379. The reversal of 13741364 is 46314731.

13741364 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 (13741349) and next prime (13741379).

It can be written as a sum of positive squares in 2 ways, for example, as 8076964 + 5664400 = 2842^2 + 2380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (836969).

Almost surely, 213741364 is an apocalyptic number.

13741364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13741364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065442).

13741364 is an abundant number, since it is smaller than the sum of its proper divisors (16389520).

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

13741364 is a wasteful number, since it uses less digits than its factorization.

13741364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5415 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 13741364 is about 3706.9345826437. The cubic root of 13741364 is about 239.5208263466.

The spelling of 13741364 in words is "thirteen million, seven hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 5393 10786 21572 37751 70109 75502 140218 151004 264257 280436 490763 528514 981526 1057028 1963052 3435341 6870682 13741364