Search a number
-
+
131420520 = 233257112431
BaseRepresentation
bin1111101010101…
…01000101101000
3100011021212001200
413311111011220
5232120424040
621012444200
73154025130
oct765250550
9304255050
10131420520
1168202200
1238019660
13212c522a
141364dac0
15b80e630
hex7d55168

131420520 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 27244800.

The previous prime is 131420491. The next prime is 131420521. The reversal of 131420520 is 25024131.

131420520 is a `hidden beast` number, since 1 + 3 + 142 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131420493 and 131420502.

It is not an unprimeable number, because it can be changed into a prime (131420521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304705 + ... + 305135.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2131420520 is an apocalyptic number.

131420520 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 131420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

131420520 is an abundant number, since it is smaller than the sum of its proper divisors (406367640).

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

131420520 is a wasteful number, since it uses less digits than its factorization.

131420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131420520 is about 11463.8789246921. The cubic root of 131420520 is about 508.4181668564.

Adding to 131420520 its reverse (25024131), we get a palindrome (156444651).

The spelling of 131420520 in words is "one hundred thirty-one million, four hundred twenty thousand, five hundred twenty".