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132102945 = 32513241937
BaseRepresentation
bin1111101111110…
…11101100100001
3100012120112011200
413313323230201
5232304243240
621035231413
73162566532
oct767735441
9305515150
10132102945
1168628997
12382a8569
13214a3a30
141378a689
15b8e6930
hex7dfbb21

132102945 has 48 divisors (see below), whose sum is σ = 247879632. Its totient is φ = 64696320.

The previous prime is 132102911. The next prime is 132103109. The reversal of 132102945 is 549201231.

It can be written as a sum of positive squares in 8 ways, for example, as 21095649 + 111007296 = 4593^2 + 10536^2 .

It is not a de Polignac number, because 132102945 - 28 = 132102689 is a prime.

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, 140517 + ... + 141453.

It is an arithmetic number, because the mean of its divisors is an integer number (5164159).

Almost surely, 2132102945 is an apocalyptic number.

132102945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132102945 is a deficient number, since it is larger than the sum of its proper divisors (115776687).

132102945 is a wasteful number, since it uses less digits than its factorization.

132102945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 132102945 is about 11493.6045259962. The cubic root of 132102945 is about 509.2966660125.

The spelling of 132102945 in words is "one hundred thirty-two million, one hundred two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 241 585 723 937 1205 2169 2811 3133 3615 4685 8433 9399 10845 12181 14055 15665 28197 36543 42165 46995 60905 109629 140985 182715 225817 548145 677451 1129085 2032353 2935621 3387255 8806863 10161765 14678105 26420589 44034315 132102945