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131144280 = 23353729537
BaseRepresentation
bin1111101000100…
…01101001011000
3100010202211010120
413310101221120
5232033104110
621002513240
73151464561
oct764215130
9303684116
10131144280
1168033703
1237b05820
1321229587
14135bb168
15b7a7870
hex7d11a58

131144280 has 64 divisors (see below), whose sum is σ = 404079840. Its totient is φ = 34025472.

The previous prime is 131144267. The next prime is 131144303. The reversal of 131144280 is 82441131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131144280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10329 + ... + 19208.

Almost surely, 2131144280 is an apocalyptic number.

131144280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131144280 is an abundant number, since it is smaller than the sum of its proper divisors (272935560).

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

131144280 is a wasteful number, since it uses less digits than its factorization.

131144280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29588 (or 29584 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 131144280 is about 11451.8243088165. The cubic root of 131144280 is about 508.0616929643.

The spelling of 131144280 in words is "one hundred thirty-one million, one hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 29537 59074 88611 118148 147685 177222 236296 295370 354444 443055 590740 708888 886110 1092869 1181480 1772220 2185738 3278607 3544440 4371476 5464345 6557214 8742952 10928690 13114428 16393035 21857380 26228856 32786070 43714760 65572140 131144280