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131490 = 2335487
BaseRepresentation
bin100000000110100010
320200101000
4200012202
513201430
62452430
71055232
oct400642
9220330
10131490
118a877
1264116
1347b08
1435cc2
1528e60
hex201a2

131490 has 32 divisors (see below), whose sum is σ = 351360. Its totient is φ = 34992.

The previous prime is 131489. The next prime is 131497. The reversal of 131490 is 94131.

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

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131490.

It is not an unprimeable number, because it can be changed into a prime (131497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2131490 is an apocalyptic number.

131490 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 131490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175680).

131490 is an abundant number, since it is smaller than the sum of its proper divisors (219870).

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

131490 is a wasteful number, since it uses less digits than its factorization.

131490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131490 is about 362.6154988414. The cubic root of 131490 is about 50.8507748683.

The spelling of 131490 in words is "one hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 487 974 1461 2435 2922 4383 4870 7305 8766 13149 14610 21915 26298 43830 65745 131490