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131670 = 232571119
BaseRepresentation
bin100000001001010110
320200121200
4200021112
513203140
62453330
71055610
oct401126
9220550
10131670
118aa20
1264246
1347c16
1435db0
1529030
hex20256

131670 has 96 divisors (see below), whose sum is σ = 449280. Its totient is φ = 25920.

The previous prime is 131641. The next prime is 131671. The reversal of 131670 is 76131.

131670 is nontrivially palindromic in base 12.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6921 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2131670 is an apocalyptic number.

131670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

131670 is an abundant number, since it is smaller than the sum of its proper divisors (317610).

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

131670 is a wasteful number, since it uses less digits than its factorization.

131670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131670 is about 362.8636107410. The cubic root of 131670 is about 50.8739679274.

The spelling of 131670 in words is "one hundred thirty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 19 21 22 30 33 35 38 42 45 55 57 63 66 70 77 90 95 99 105 110 114 126 133 154 165 171 190 198 209 210 231 266 285 315 330 342 385 399 418 462 495 570 627 630 665 693 770 798 855 990 1045 1155 1197 1254 1330 1386 1463 1710 1881 1995 2090 2310 2394 2926 3135 3465 3762 3990 4389 5985 6270 6930 7315 8778 9405 11970 13167 14630 18810 21945 26334 43890 65835 131670