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131422140 = 223251275749
BaseRepresentation
bin1111101010101…
…01011110111100
3100011021221021200
413311111132330
5232121002030
621012455500
73154032633
oct765253674
9304257250
10131422140
1168203443
123801a590
13212c5ba5
141365051a
15b80ed60
hex7d557bc

131422140 has 72 divisors (see below), whose sum is σ = 401856000. Its totient is φ = 34763904.

The previous prime is 131422133. The next prime is 131422157. The reversal of 131422140 is 41224131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19986 + ... + 25734.

Almost surely, 2131422140 is an apocalyptic number.

131422140 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 131422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200928000).

131422140 is an abundant number, since it is smaller than the sum of its proper divisors (270433860).

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

131422140 is a wasteful number, since it uses less digits than its factorization.

131422140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131422140 is about 11463.9495811871. The cubic root of 131422140 is about 508.4202559113.

Adding to 131422140 its reverse (41224131), we get a palindrome (172646271).

The spelling of 131422140 in words is "one hundred thirty-one million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 5749 7620 11430 11498 17247 22860 22996 28745 34494 51741 57490 68988 86235 103482 114980 172470 206964 258705 344940 517410 730123 1034820 1460246 2190369 2920492 3650615 4380738 6571107 7301230 8761476 10951845 13142214 14602460 21903690 26284428 32855535 43807380 65711070 131422140