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131498040 = 233510310639
BaseRepresentation
bin1111101011010…
…00000000111000
3100011102210101210
413311220000320
5232130414130
621014243120
73154500132
oct765500070
9304383353
10131498040
1168255473
12380564a0
13213215bb
1413670052
15b8275b0
hex7d68038

131498040 has 64 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 34722432.

The previous prime is 131498027. The next prime is 131498047. The reversal of 131498040 is 40894131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 131497989 and 131498007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131498047) 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, 7041 + ... + 17679.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2131498040 is an apocalyptic number.

131498040 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 131498040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

131498040 is an abundant number, since it is smaller than the sum of its proper divisors (266863560).

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

131498040 is a wasteful number, since it uses less digits than its factorization.

131498040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131498040 is about 11467.2594808001. The cubic root of 131498040 is about 508.5181127641.

The spelling of 131498040 in words is "one hundred thirty-one million, four hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 10639 12360 21278 31917 42556 53195 63834 85112 106390 127668 159585 212780 255336 319170 425560 638340 1095817 1276680 2191634 3287451 4383268 5479085 6574902 8766536 10958170 13149804 16437255 21916340 26299608 32874510 43832680 65749020 131498040