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132029975 = 52711107641
BaseRepresentation
bin1111101111010…
…01111000010111
3100012102211002002
413313221320113
5232244424400
621033505515
73162144020
oct767517027
9305384062
10132029975
1168589090
123827229b
132147975c
141376bc47
15b8ceed5
hex7de9e17

132029975 has 48 divisors (see below), whose sum is σ = 206343936. Its totient is φ = 81408000.

The previous prime is 132029969. The next prime is 132030001. The reversal of 132029975 is 579920231.

It is not a de Polignac number, because 132029975 - 220 = 130981399 is a prime.

It is a super-4 number, since 4×1320299754 (a number of 34 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205655 + ... + 206295.

It is an arithmetic number, because the mean of its divisors is an integer number (4298832).

Almost surely, 2132029975 is an apocalyptic number.

132029975 is a deficient number, since it is larger than the sum of its proper divisors (74313961).

132029975 is a wasteful number, since it uses less digits than its factorization.

132029975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 132029975 is about 11490.4297134615. The cubic root of 132029975 is about 509.2028749606.

The spelling of 132029975 in words is "one hundred thirty-two million, twenty-nine thousand, nine hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 107 175 275 385 535 641 749 1177 1925 2675 3205 3745 4487 5885 7051 8239 16025 18725 22435 29425 35255 41195 49357 68587 112175 176275 205975 246785 342935 480109 754457 1233925 1714675 2400545 3772285 5281199 12002725 18861425 26405995 132029975