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131820750 = 2335359331
BaseRepresentation
bin1111101101101…
…10110011001110
3100012001012002000
413312312303032
5232221231000
621025213130
73160313025
oct766666316
9305035060
10131820750
1168455976
12381911a6
1321405459
14137158bc
15b88d000
hex7db6cce

131820750 has 128 divisors (see below), whose sum is σ = 372902400. Its totient is φ = 34452000.

The previous prime is 131820749. The next prime is 131820779. The reversal of 131820750 is 57028131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398085 + ... + 398415.

It is an arithmetic number, because the mean of its divisors is an integer number (2913300).

Almost surely, 2131820750 is an apocalyptic number.

131820750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131820750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186451200).

131820750 is an abundant number, since it is smaller than the sum of its proper divisors (241081650).

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

131820750 is a wasteful number, since it uses less digits than its factorization.

131820750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 131820750 is about 11481.3217880173. The cubic root of 131820750 is about 508.9337585542.

Adding to 131820750 its reverse (57028131), we get a palindrome (188848881).

The spelling of 131820750 in words is "one hundred thirty-one million, eight hundred twenty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 125 135 150 177 225 250 270 295 331 354 375 450 531 590 662 675 750 885 993 1062 1125 1350 1475 1593 1655 1770 1986 2250 2655 2950 2979 3186 3310 3375 4425 4965 5310 5958 6750 7375 7965 8275 8850 8937 9930 13275 14750 14895 15930 16550 17874 19529 22125 24825 26550 29790 39058 39825 41375 44250 44685 49650 58587 66375 74475 79650 82750 89370 97645 117174 124125 132750 148950 175761 195290 199125 223425 248250 292935 351522 372375 398250 446850 488225 527283 585870 744750 878805 976450 1054566 1117125 1464675 1757610 2234250 2441125 2636415 2929350 4394025 4882250 5272830 7323375 8788050 13182075 14646750 21970125 26364150 43940250 65910375 131820750