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131496240 = 2435547901
BaseRepresentation
bin1111101011001…
…11100100110000
3100011102200221010
413311213210300
5232130334430
621014230520
73154461651
oct765474460
9304380833
10131496240
1168254087
1238055440
1321320835
141366d528
15b826cb0
hex7d67930

131496240 has 40 divisors (see below), whose sum is σ = 407639088. Its totient is φ = 35065600.

The previous prime is 131496229. The next prime is 131496247. The reversal of 131496240 is 42694131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1314962402 = 34582522268275200, which contains 22 as substring.

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 = 131496198 and 131496207.

It is not an unprimeable number, because it can be changed into a prime (131496247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273711 + ... + 274190.

Almost surely, 2131496240 is an apocalyptic number.

131496240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131496240 is an abundant number, since it is smaller than the sum of its proper divisors (276142848).

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

131496240 is a wasteful number, since it uses less digits than its factorization.

131496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547917 (or 547911 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 131496240 is about 11467.1809962170. The cubic root of 131496240 is about 508.5157924842.

The spelling of 131496240 in words is "one hundred thirty-one million, four hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 547901 1095802 1643703 2191604 2739505 3287406 4383208 5479010 6574812 8218515 8766416 10958020 13149624 16437030 21916040 26299248 32874060 43832080 65748120 131496240