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131476840 = 235111312281
BaseRepresentation
bin1111101011000…
…10110101101000
3100011101201022121
413311202311220
5232124224330
621014001024
73154351255
oct765426550
9304351277
10131476840
1168240550
1238046174
1321314a61
141366642c
15b82117a
hex7d62d68

131476840 has 64 divisors (see below), whose sum is σ = 325321920. Its totient is φ = 47424000.

The previous prime is 131476823. The next prime is 131476871. The reversal of 131476840 is 48674131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131476796 and 131476805.

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, 56500 + ... + 58780.

It is an arithmetic number, because the mean of its divisors is an integer number (5083155).

Almost surely, 2131476840 is an apocalyptic number.

131476840 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 131476840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162660960).

131476840 is an abundant number, since it is smaller than the sum of its proper divisors (193845080).

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

131476840 is a wasteful number, since it uses less digits than its factorization.

131476840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 131476840 is about 11466.3350727249. The cubic root of 131476840 is about 508.4907836790.

The spelling of 131476840 in words is "one hundred thirty-one million, four hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2281 2620 2882 4562 5240 5764 7205 9124 11405 11528 14410 18248 22810 25091 28820 45620 50182 57640 91240 100364 125455 200728 250910 298811 501820 597622 1003640 1195244 1494055 2390488 2988110 3286921 5976220 6573842 11952440 13147684 16434605 26295368 32869210 65738420 131476840