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131404520 = 235132310987
BaseRepresentation
bin1111101010100…
…01001011101000
3100011021001010002
413311101023220
5232114421040
621012242132
73153630362
oct765211350
9304231102
10131404520
11681a1185
1238010348
13212bab70
1413647d32
15b809a15
hex7d512e8

131404520 has 64 divisors (see below), whose sum is σ = 332277120. Its totient is φ = 46404864.

The previous prime is 131404499. The next prime is 131404529. The reversal of 131404520 is 25404131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131404492 and 131404501.

It is not an unprimeable number, because it can be changed into a prime (131404529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6467 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (5191830).

Almost surely, 2131404520 is an apocalyptic number.

131404520 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 131404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166138560).

131404520 is an abundant number, since it is smaller than the sum of its proper divisors (200872600).

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

131404520 is a wasteful number, since it uses less digits than its factorization.

131404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 131404520 is about 11463.1810593744. The cubic root of 131404520 is about 508.3975332932.

Adding to 131404520 its reverse (25404131), we get a palindrome (156808651).

The spelling of 131404520 in words is "one hundred thirty-one million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 10987 11960 21974 43948 54935 87896 109870 142831 219740 252701 285662 439480 505402 571324 714155 1010804 1142648 1263505 1428310 2021608 2527010 2856620 3285113 5054020 5713240 6570226 10108040 13140452 16425565 26280904 32851130 65702260 131404520