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131402340 = 223254871499
BaseRepresentation
bin1111101010100…
…00101001100100
3100011020221010100
413311100221210
5232114333330
621012224100
73153621126
oct765205144
9304227110
10131402340
116819a583
123800b030
13212b9b84
1413647216
15b809060
hex7d50a64

131402340 has 72 divisors (see below), whose sum is σ = 399672000. Its totient is φ = 34945344.

The previous prime is 131402291. The next prime is 131402351. The reversal of 131402340 is 43204131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86911 + ... + 88409.

It is an arithmetic number, because the mean of its divisors is an integer number (5551000).

Almost surely, 2131402340 is an apocalyptic number.

131402340 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 131402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199836000).

131402340 is an abundant number, since it is smaller than the sum of its proper divisors (268269660).

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

131402340 is a wasteful number, since it uses less digits than its factorization.

131402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131402340 is about 11463.0859719362. The cubic root of 131402340 is about 508.3947218405.

Adding to 131402340 its reverse (43204131), we get a palindrome (174606471).

The spelling of 131402340 in words is "one hundred thirty-one million, four hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 974 1461 1499 1948 2435 2922 2998 4383 4497 4870 5844 5996 7305 7495 8766 8994 9740 13491 14610 14990 17532 17988 21915 22485 26982 29220 29980 43830 44970 53964 67455 87660 89940 134910 269820 730013 1460026 2190039 2920052 3650065 4380078 6570117 7300130 8760156 10950195 13140234 14600260 21900390 26280468 32850585 43800780 65701170 131402340