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131323240 = 23561107503
BaseRepresentation
bin1111101001111…
…01010101101000
3100011002220121201
413310331111220
5232104320430
621010413544
73153141406
oct764752550
9304086551
10131323240
1168146104
1237b912b4
132128cb79
1413626476
15b7e08ca
hex7d3d568

131323240 has 64 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 51083520.

The previous prime is 131323189. The next prime is 131323253. The reversal of 131323240 is 42323131.

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, 260829 + ... + 261331.

It is an arithmetic number, because the mean of its divisors is an integer number (4745790).

Almost surely, 2131323240 is an apocalyptic number.

131323240 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 131323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

131323240 is an abundant number, since it is smaller than the sum of its proper divisors (172407320).

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

131323240 is a wasteful number, since it uses less digits than its factorization.

131323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 131323240 is about 11459.6352472494. The cubic root of 131323240 is about 508.2926889179.

Adding to 131323240 its reverse (42323131), we get a palindrome (173646371).

The spelling of 131323240 in words is "one hundred thirty-one million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 107 122 214 244 305 428 488 503 535 610 856 1006 1070 1220 2012 2140 2440 2515 4024 4280 5030 6527 10060 13054 20120 26108 30683 32635 52216 53821 61366 65270 107642 122732 130540 153415 215284 245464 261080 269105 306830 430568 538210 613660 1076420 1227320 2152840 3283081 6566162 13132324 16415405 26264648 32830810 65661620 131323240