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131177140 = 225191093167
BaseRepresentation
bin1111101000110…
…01101010110100
3100010211111012121
413310121222310
5232040132030
621003325324
73151662433
oct764315264
9303744177
10131177140
1168056366
1237b20844
132123b513
14135c911a
15b7b247a
hex7d19ab4

131177140 has 48 divisors (see below), whose sum is σ = 292723200. Its totient is φ = 49237632.

The previous prime is 131177113. The next prime is 131177143. The reversal of 131177140 is 41771131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131177143) 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, 39837 + ... + 43003.

It is an arithmetic number, because the mean of its divisors is an integer number (6098400).

Almost surely, 2131177140 is an apocalyptic number.

131177140 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 131177140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

131177140 is an abundant number, since it is smaller than the sum of its proper divisors (161546060).

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

131177140 is a wasteful number, since it uses less digits than its factorization.

131177140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 131177140 is about 11453.2589248650. The cubic root of 131177140 is about 508.1041233650.

The spelling of 131177140 in words is "one hundred thirty-one million, one hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 3167 4142 6334 8284 10355 12668 15835 20710 31670 41420 60173 63340 120346 240692 300865 345203 601730 690406 1203460 1380812 1726015 3452030 6558857 6904060 13117714 26235428 32794285 65588570 131177140