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132093015 = 3531714001
BaseRepresentation
bin1111101111110…
…01010001010111
3100012120000112220
413313321101113
5232303434030
621035113423
73162525555
oct767712127
9305500486
10132093015
116862148a
12382a2873
132149c362
1413786bd5
15b8e3a10
hex7df9457

132093015 has 32 divisors (see below), whose sum is σ = 221294592. Its totient is φ = 67200000.

The previous prime is 132093011. The next prime is 132093019. The reversal of 132093015 is 510390231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132093011) and next prime (132093019).

It is not a de Polignac number, because 132093015 - 22 = 132093011 is a prime.

It is a super-3 number, since 3×1320930153 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132093011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31015 + ... + 35015.

It is an arithmetic number, because the mean of its divisors is an integer number (6915456).

Almost surely, 2132093015 is an apocalyptic number.

132093015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132093015 is a deficient number, since it is larger than the sum of its proper divisors (89201577).

132093015 is a wasteful number, since it uses less digits than its factorization.

132093015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 132093015 is about 11493.1725385117. The cubic root of 132093015 is about 509.2839046451.

The spelling of 132093015 in words is "one hundred thirty-two million, ninety-three thousand, fifteen".

Divisors: 1 3 5 15 31 71 93 155 213 355 465 1065 2201 4001 6603 11005 12003 20005 33015 60015 124031 284071 372093 620155 852213 1420355 1860465 4261065 8806201 26418603 44031005 132093015