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132830420 = 2258777573
BaseRepresentation
bin1111110101011…
…01010011010100
3100020221111002012
413322231103110
5233001033140
621103003352
73202016462
oct772552324
9306844065
10132830420
1168a85508
1238599558
1321699ba8
14138d9832
15b9dc265
hex7ead4d4

132830420 has 24 divisors (see below), whose sum is σ = 279298824. Its totient is φ = 53064576.

The previous prime is 132830419. The next prime is 132830431. The reversal of 132830420 is 24038231.

It can be written as a sum of positive squares in 4 ways, for example, as 78925456 + 53904964 = 8884^2 + 7342^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13754 + ... + 21326.

It is an arithmetic number, because the mean of its divisors is an integer number (11637451).

Almost surely, 2132830420 is an apocalyptic number.

132830420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132830420 is an abundant number, since it is smaller than the sum of its proper divisors (146468404).

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

132830420 is a wasteful number, since it uses less digits than its factorization.

132830420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 132830420 is about 11525.2080241530. The cubic root of 132830420 is about 510.2298336126.

Adding to 132830420 its reverse (24038231), we get a palindrome (156868651).

The spelling of 132830420 in words is "one hundred thirty-two million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 877 1754 3508 4385 7573 8770 15146 17540 30292 37865 75730 151460 6641521 13283042 26566084 33207605 66415210 132830420