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131898240 = 2733517449
BaseRepresentation
bin1111101110010…
…01101110000000
3100012012010101000
413313021232000
5232231220430
621031012000
73161054655
oct767115600
9305163330
10131898240
11684a9111
123820a000
13214317c6
1413735c2c
15b8a5e60
hex7dc9b80

131898240 has 256 divisors, whose sum is σ = 495720000. Its totient is φ = 33030144.

The previous prime is 131898197. The next prime is 131898317. The reversal of 131898240 is 42898131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131898195 and 131898204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293536 + ... + 293984.

Almost surely, 2131898240 is an apocalyptic number.

131898240 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 131898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247860000).

131898240 is an abundant number, since it is smaller than the sum of its proper divisors (363821760).

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

131898240 is a wasteful number, since it uses less digits than its factorization.

131898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 131898240 is about 11484.6959036798. The cubic root of 131898240 is about 509.0334635243.

The spelling of 131898240 in words is "one hundred thirty-one million, eight hundred ninety-eight thousand, two hundred forty".