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132932070 = 23351134357
BaseRepresentation
bin1111110110001…
…10000111100110
3100021010122112000
413323012013212
5233012311240
621105110130
73202622025
oct773060746
9307118460
10132932070
1169044917
1238628346
132170423b
14139248bc
15ba0c430
hex7ec61e6

132932070 has 64 divisors (see below), whose sum is σ = 357704640. Its totient is φ = 35126784.

The previous prime is 132932069. The next prime is 132932071. The reversal of 132932070 is 70239231.

It is an interprime number because it is at equal distance from previous prime (132932069) and next prime (132932071).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132932071) 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, 28332 + ... + 32688.

It is an arithmetic number, because the mean of its divisors is an integer number (5589135).

Almost surely, 2132932070 is an apocalyptic number.

132932070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132932070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178852320).

132932070 is an abundant number, since it is smaller than the sum of its proper divisors (224772570).

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

132932070 is a wasteful number, since it uses less digits than its factorization.

132932070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 132932070 is about 11529.6170795044. The cubic root of 132932070 is about 510.3599535007.

The spelling of 132932070 in words is "one hundred thirty-two million, nine hundred thirty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 4357 5085 6102 8714 10170 13071 15255 21785 26142 30510 39213 43570 65355 78426 117639 130710 196065 235278 392130 492341 588195 984682 1176390 1477023 2461705 2954046 4431069 4923410 7385115 8862138 13293207 14770230 22155345 26586414 44310690 66466035 132932070