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13900752 = 2432372609
BaseRepresentation
bin110101000001…
…101111010000
3222011020020200
4311001233100
512024311002
61213535200
7226103655
oct65015720
928136220
1013900752
117934928
1247a4500
132b591c8
141bbbc2c
151348b1c
hexd41bd0

13900752 has 60 divisors (see below), whose sum is σ = 39969540. Its totient is φ = 4506624.

The previous prime is 13900729. The next prime is 13900753. The reversal of 13900752 is 25700931.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 4016016 = 3144^2 + 2004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900753) 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 11 ways as a sum of consecutive naturals, for example, 4024 + ... + 6632.

It is an arithmetic number, because the mean of its divisors is an integer number (666159).

Almost surely, 213900752 is an apocalyptic number.

13900752 is a gapful number since it is divisible by the number (12) 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 13900752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984770).

13900752 is an abundant number, since it is smaller than the sum of its proper divisors (26068788).

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

13900752 is a wasteful number, since it uses less digits than its factorization.

13900752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13900752 is about 3728.3712261522. The cubic root of 13900752 is about 240.4433471760.

The spelling of 13900752 in words is "thirteen million, nine hundred thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2609 2664 5218 5328 7827 10436 15654 20872 23481 31308 41744 46962 62616 93924 96533 125232 187848 193066 289599 375696 386132 579198 772264 868797 1158396 1544528 1737594 2316792 3475188 4633584 6950376 13900752