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132059025 = 33527191471
BaseRepresentation
bin1111101111100…
…00111110010001
3100012111021221000
413313300332101
5232301342100
621034252213
73162324510
oct767607621
9305437830
10132059025
11685a899a
1238287069
1321489a47
1413778677
15b8d8900
hex7df0f91

132059025 has 96 divisors (see below), whose sum is σ = 292044800. Its totient is φ = 57153600.

The previous prime is 132059023. The next prime is 132059029. The reversal of 132059025 is 520950231.

It is not a de Polignac number, because 132059025 - 21 = 132059023 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132059025.

It is not an unprimeable number, because it can be changed into a prime (132059023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89040 + ... + 90510.

Almost surely, 2132059025 is an apocalyptic number.

132059025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132059025 is an abundant number, since it is smaller than the sum of its proper divisors (159985775).

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

132059025 is a wasteful number, since it uses less digits than its factorization.

132059025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 132059025 is about 11491.6937393928. The cubic root of 132059025 is about 509.2402181441.

The spelling of 132059025 in words is "one hundred thirty-two million, fifty-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 133 135 171 175 189 225 285 315 399 475 513 525 665 675 855 945 1197 1425 1471 1575 1995 2565 3325 3591 4275 4413 4725 5985 7355 9975 10297 12825 13239 17955 22065 27949 29925 30891 36775 39717 51485 66195 83847 89775 92673 110325 139745 154455 195643 198585 251541 257425 278019 330975 419235 463365 586929 698725 754623 772275 978215 992925 1257705 1390095 1760787 2096175 2316825 2934645 3773115 4891075 5282361 6288525 6950475 8803935 14673225 18865575 26411805 44019675 132059025