Search a number
-
+
13731452 = 2271953487
BaseRepresentation
bin110100011000…
…011001111100
3221211122000022
4310120121330
512003401302
61210151312
7224500250
oct64303174
927748008
1013731452
117829709
124722538
132aca127
141b76260
1513138a2
hexd1867c

13731452 has 48 divisors (see below), whose sum is σ = 29514240. Its totient is φ = 5458752.

The previous prime is 13731451. The next prime is 13731467. The reversal of 13731452 is 25413731.

13731452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27953 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 213731452 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 13731452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120).

13731452 is an abundant number, since it is smaller than the sum of its proper divisors (15782788).

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

13731452 is a wasteful number, since it uses less digits than its factorization.

13731452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 13731452 is about 3705.5973877366. The cubic root of 13731452 is about 239.4632216455.

The spelling of 13731452 in words is "thirteen million, seven hundred thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 371 487 532 742 974 1007 1484 1948 2014 3409 4028 6818 7049 9253 13636 14098 18506 25811 28196 37012 51622 64771 103244 129542 180677 259084 361354 490409 722708 980818 1961636 3432863 6865726 13731452