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131250320 = 2454767521
BaseRepresentation
bin1111101001010…
…11100010010000
3100010222012120222
413310223202100
5232100002240
621005052212
73152415665
oct764534220
9303865528
10131250320
11680a6343
1237b57068
1321265916
1413607a6c
15b7c8eb5
hex7d2b890

131250320 has 80 divisors (see below), whose sum is σ = 316908288. Its totient is φ = 50519040.

The previous prime is 131250299. The next prime is 131250331. The reversal of 131250320 is 23052131.

It is a tau number, because it is divible by the number of its divisors (80).

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, 251660 + ... + 252180.

Almost surely, 2131250320 is an apocalyptic number.

131250320 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 131250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158454144).

131250320 is an abundant number, since it is smaller than the sum of its proper divisors (185657968).

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

131250320 is a wasteful number, since it uses less digits than its factorization.

131250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 131250320 is about 11456.4532033261. The cubic root of 131250320 is about 508.1985914189.

The spelling of 131250320 in words is "one hundred thirty-one million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 67 80 94 134 188 235 268 335 376 470 521 536 670 752 940 1042 1072 1340 1880 2084 2605 2680 3149 3760 4168 5210 5360 6298 8336 10420 12596 15745 20840 24487 25192 31490 34907 41680 48974 50384 62980 69814 97948 122435 125960 139628 174535 195896 244870 251920 279256 349070 391792 489740 558512 698140 979480 1396280 1640629 1958960 2792560 3281258 6562516 8203145 13125032 16406290 26250064 32812580 65625160 131250320