[go: up one dir, main page]

Search a number
-
+
13731500 = 225329947
BaseRepresentation
bin110100011000…
…011010101100
3221211122002002
4310120122230
512003402000
61210151432
7224500346
oct64303254
927748062
1013731500
117829752
124722578
132aca163
141b76296
1513138d5
hexd186ac

13731500 has 48 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 5297600.

The previous prime is 13731499. The next prime is 13731511. The reversal of 13731500 is 513731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 14027 + ... + 14973.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 213731500 is an apocalyptic number.

13731500 is a gapful number since it is divisible by the number (10) 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 13731500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

13731500 is an abundant number, since it is smaller than the sum of its proper divisors (17324980).

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

13731500 is a wasteful number, since it uses less digits than its factorization.

13731500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 13731500 is about 3705.6038644194. The cubic root of 13731500 is about 239.4635006697.

The spelling of 13731500 in words is "thirteen million, seven hundred thirty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 947 1450 1894 2900 3625 3788 4735 7250 9470 14500 18940 23675 27463 47350 54926 94700 109852 118375 137315 236750 274630 473500 549260 686575 1373150 2746300 3432875 6865750 13731500