Search a number
-
+
13731450 = 2352312953
BaseRepresentation
bin110100011000…
…011001111010
3221211122000020
4310120121322
512003401300
61210151310
7224500245
oct64303172
927748006
1013731450
117829707
124722536
132aca125
141b7625c
1513138a0
hexd1867a

13731450 has 48 divisors (see below), whose sum is σ = 35164416. Its totient is φ = 3542400.

The previous prime is 13731439. The next prime is 13731451. The reversal of 13731450 is 5413731.

13731450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13731450.

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 23 ways as a sum of consecutive naturals, for example, 3174 + ... + 6126.

It is an arithmetic number, because the mean of its divisors is an integer number (732592).

Almost surely, 213731450 is an apocalyptic number.

13731450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13731450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582208).

13731450 is an abundant number, since it is smaller than the sum of its proper divisors (21432966).

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

13731450 is a wasteful number, since it uses less digits than its factorization.

13731450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13731450 is about 3705.5971178745. The cubic root of 13731450 is about 239.4632100195.

The spelling of 13731450 in words is "thirteen million, seven hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 2953 4650 5906 8859 14765 17718 29530 44295 73825 88590 91543 147650 183086 221475 274629 442950 457715 549258 915430 1373145 2288575 2746290 4577150 6865725 13731450