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132000705 = 3357912377
BaseRepresentation
bin1111101111000…
…10101111000001
3100012101022221000
413313202233001
5232243010310
621033122213
73161662464
oct767425701
9305338830
10132000705
11685690a1
1238259369
1321469335
14137612db
15b8c64c0
hex7de2bc1

132000705 has 32 divisors (see below), whose sum is σ = 237657600. Its totient is φ = 69503616.

The previous prime is 132000677. The next prime is 132000707. The reversal of 132000705 is 507000231.

It is not a de Polignac number, because 132000705 - 225 = 98446273 is a prime.

It is a super-2 number, since 2×1320007052 = 34848372240994050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132000707) 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, 4477 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (7426800).

Almost surely, 2132000705 is an apocalyptic number.

132000705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132000705 is a deficient number, since it is larger than the sum of its proper divisors (105656895).

132000705 is a wasteful number, since it uses less digits than its factorization.

132000705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12464 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 132000705 is about 11489.1559742220. The cubic root of 132000705 is about 509.1652434311.

Adding to 132000705 its reverse (507000231), we get a palindrome (639000936).

The spelling of 132000705 in words is "one hundred thirty-two million, seven hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 15 27 45 79 135 237 395 711 1185 2133 3555 10665 12377 37131 61885 111393 185655 334179 556965 977783 1670895 2933349 4888915 8800047 14666745 26400141 44000235 132000705