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131436984 = 23371941177
BaseRepresentation
bin1111101010110…
…01000110111000
3100011022200122110
413311121012320
5232121440414
621013052320
73154124130
oct765310670
9304280573
10131436984
1168213608
12380270a0
13212cc883
1413655ac0
15b814459
hex7d591b8

131436984 has 64 divisors (see below), whose sum is σ = 395308800. Its totient is φ = 35576064.

The previous prime is 131436983. The next prime is 131437027. The reversal of 131436984 is 489634131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131436983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17397 + ... + 23780.

It is an arithmetic number, because the mean of its divisors is an integer number (6176700).

Almost surely, 2131436984 is an apocalyptic number.

131436984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131436984 is an abundant number, since it is smaller than the sum of its proper divisors (263871816).

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

131436984 is a wasteful number, since it uses less digits than its factorization.

131436984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41212 (or 41208 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 131436984 is about 11464.5969837583. The cubic root of 131436984 is about 508.4393970447.

The spelling of 131436984 in words is "one hundred thirty-one million, four hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 41177 82354 123531 164708 247062 288239 329416 494124 576478 782363 864717 988248 1152956 1564726 1729434 2305912 2347089 3129452 3458868 4694178 5476541 6258904 6917736 9388356 10953082 16429623 18776712 21906164 32859246 43812328 65718492 131436984