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131503540 = 22578311317
BaseRepresentation
bin1111101011010…
…01010110110100
3100011110001221111
413311221112310
5232131103130
621014324404
73154522150
oct765512664
9304401844
10131503540
1168259613
1238059704
1321323c5c
1413672060
15b82902a
hex7d695b4

131503540 has 48 divisors (see below), whose sum is σ = 319439232. Its totient is φ = 44539776.

The previous prime is 131503481. The next prime is 131503553. The reversal of 131503540 is 45305131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5962 + ... + 17278.

It is an arithmetic number, because the mean of its divisors is an integer number (6654984).

Almost surely, 2131503540 is an apocalyptic number.

131503540 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 131503540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159719616).

131503540 is an abundant number, since it is smaller than the sum of its proper divisors (187935692).

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

131503540 is a wasteful number, since it uses less digits than its factorization.

131503540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11414 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 131503540 is about 11467.4992914759. The cubic root of 131503540 is about 508.5252023771.

Adding to 131503540 its reverse (45305131), we get a palindrome (176808671).

The spelling of 131503540 in words is "one hundred thirty-one million, five hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11317 11620 22634 45268 56585 79219 113170 158438 226340 316876 396095 792190 939311 1584380 1878622 3757244 4696555 6575177 9393110 13150354 18786220 26300708 32875885 65751770 131503540