Search a number
-
+
131400600 = 23352219001
BaseRepresentation
bin1111101010100…
…00001110011000
3100011020211201220
413311100032120
5232114304400
621012212040
73153613062
oct765201630
9304224656
10131400600
1168199241
123800a020
13212b9146
1413646732
15b8087a0
hex7d50398

131400600 has 48 divisors (see below), whose sum is σ = 407343720. Its totient is φ = 35040000.

The previous prime is 131400589. The next prime is 131400629. The reversal of 131400600 is 6004131.

It is a super-2 number, since 2×1314006002 = 34532235360720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131400600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108901 + ... + 110100.

Almost surely, 2131400600 is an apocalyptic number.

131400600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131400600 is an abundant number, since it is smaller than the sum of its proper divisors (275943120).

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

131400600 is a wasteful number, since it uses less digits than its factorization.

131400600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219020 (or 219011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131400600 is about 11463.0100758919. The cubic root of 131400600 is about 508.3924778148.

Adding to 131400600 its reverse (6004131), we get a palindrome (137404731).

The spelling of 131400600 in words is "one hundred thirty-one million, four hundred thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 219001 438002 657003 876004 1095005 1314006 1752008 2190010 2628012 3285015 4380020 5256024 5475025 6570030 8760040 10950050 13140060 16425075 21900100 26280120 32850150 43800200 65700300 131400600