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132860250 = 231253
BaseRepresentation
bin1111110101101…
…00100101011010
3100021000000000000
413322310211122
5233003012000
621103353430
73202202445
oct772644532
9307000000
10132860250
1168aa5966
12385b2876
13216aa643
141390665c
15b9e6000
hex7eb495a

132860250 has 104 divisors (see below), whose sum is σ = 373071348. Its totient is φ = 35429400.

The previous prime is 132860249. The next prime is 132860261. The reversal of 132860250 is 52068231.

132860250 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 602 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89813529 + 43046721 = 9477^2 + 6561^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 26572048 + ... + 26572052.

Almost surely, 2132860250 is an apocalyptic number.

132860250 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 132860250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535674).

132860250 is an abundant number, since it is smaller than the sum of its proper divisors (240211098).

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

132860250 is an frugal number, since it uses more digits than its factorization.

132860250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132860250 is about 11526.5020713137. The cubic root of 132860250 is about 510.2680252074.

The spelling of 132860250 in words is "one hundred thirty-two million, eight hundred sixty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 729 750 810 1125 1215 1350 1458 2025 2187 2250 2430 3375 3645 4050 4374 6075 6561 6750 7290 10125 10935 12150 13122 18225 19683 20250 21870 30375 32805 36450 39366 54675 59049 60750 65610 91125 98415 109350 118098 164025 177147 182250 196830 273375 295245 328050 354294 492075 531441 546750 590490 820125 885735 984150 1062882 1476225 1640250 1771470 2460375 2657205 2952450 4428675 4920750 5314410 7381125 8857350 13286025 14762250 22143375 26572050 44286750 66430125 132860250