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131717820 = 223513168869
BaseRepresentation
bin1111101100111…
…01101010111100
3100011211221212210
413312131222330
5232204432240
621023100420
73156403653
oct766355274
9304757783
10131717820
1168395603
1238141710
132139a650
14136ca19a
15b86c780
hex7d9dabc

131717820 has 48 divisors (see below), whose sum is σ = 397182240. Its totient is φ = 32422656.

The previous prime is 131717813. The next prime is 131717821. The reversal of 131717820 is 28717131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131717821) 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, 83655 + ... + 85214.

It is an arithmetic number, because the mean of its divisors is an integer number (8274630).

Almost surely, 2131717820 is an apocalyptic number.

131717820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131717820 is an abundant number, since it is smaller than the sum of its proper divisors (265464420).

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

131717820 is a wasteful number, since it uses less digits than its factorization.

131717820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168894 (or 168892 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 131717820 is about 11476.8384148249. The cubic root of 131717820 is about 508.8012599599.

The spelling of 131717820 in words is "one hundred thirty-one million, seven hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 168869 337738 506607 675476 844345 1013214 1688690 2026428 2195297 2533035 3377380 4390594 5066070 6585891 8781188 10132140 10976485 13171782 21952970 26343564 32929455 43905940 65858910 131717820