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132430830 = 2357290089
BaseRepresentation
bin1111110010010…
…11101111101110
3100020012011221120
413321023233232
5232400241310
621050241410
73165433500
oct771135756
9306164846
10132430830
1168832274
1238426266
132158a04c
1413833d70
15b95db70
hex7e4bbee

132430830 has 48 divisors (see below), whose sum is σ = 369729360. Its totient is φ = 30269568.

The previous prime is 132430829. The next prime is 132430877. The reversal of 132430830 is 38034231.

It is a self number, because there is not a number n which added to its sum of digits gives 132430830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43575 + ... + 46514.

It is an arithmetic number, because the mean of its divisors is an integer number (7702695).

Almost surely, 2132430830 is an apocalyptic number.

132430830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132430830 is an abundant number, since it is smaller than the sum of its proper divisors (237298530).

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

132430830 is a wasteful number, since it uses less digits than its factorization.

132430830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90113 (or 90106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132430830 is about 11507.8594881933. The cubic root of 132430830 is about 509.7176830413.

The spelling of 132430830 in words is "one hundred thirty-two million, four hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 90089 180178 270267 450445 540534 630623 900890 1261246 1351335 1891869 2702670 3153115 3783738 4414361 6306230 8828722 9459345 13243083 18918690 22071805 26486166 44143610 66215415 132430830