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131534220 = 223514914713
BaseRepresentation
bin1111101011100…
…00110110001100
3100011111122000210
413311300312030
5232133043340
621015122420
73155010456
oct765606614
9304448023
10131534220
116827a674
1238073410
1321334bcc
141367d2d6
15b833180
hex7d70d8c

131534220 has 48 divisors (see below), whose sum is σ = 370792800. Its totient is φ = 34838016.

The previous prime is 131534213. The next prime is 131534237. The reversal of 131534220 is 22435131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584 + ... + 16296.

It is an arithmetic number, because the mean of its divisors is an integer number (7724850).

Almost surely, 2131534220 is an apocalyptic number.

131534220 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 131534220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185396400).

131534220 is an abundant number, since it is smaller than the sum of its proper divisors (239258580).

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

131534220 is a wasteful number, since it uses less digits than its factorization.

131534220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131534220 is about 11468.8369070277. The cubic root of 131534220 is about 508.5647459009.

Adding to 131534220 its reverse (22435131), we get a palindrome (153969351).

The spelling of 131534220 in words is "one hundred thirty-one million, five hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 14713 29426 44139 58852 73565 88278 147130 176556 220695 294260 441390 882780 2192237 4384474 6576711 8768948 10961185 13153422 21922370 26306844 32883555 43844740 65767110 131534220