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132330020 = 22573233389
BaseRepresentation
bin1111110001100…
…11001000100100
3100020000001122212
413320303020210
5232334030040
621044142552
73164533544
oct770631044
9306001585
10132330020
1168773559
1238397a58
13215531b4
1413809324
15b93dd65
hex7e33224

132330020 has 48 divisors (see below), whose sum is σ = 283636080. Its totient is φ = 51849216.

The previous prime is 132329993. The next prime is 132330031. The reversal of 132330020 is 20033231.

It can be written as a sum of positive squares in 8 ways, for example, as 14303524 + 118026496 = 3782^2 + 10864^2 .

It is a super-2 number, since 2×1323300202 = 35022468386400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132329977 and 132330004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339986 + ... + 340374.

It is an arithmetic number, because the mean of its divisors is an integer number (5909085).

Almost surely, 2132330020 is an apocalyptic number.

132330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132330020 is an abundant number, since it is smaller than the sum of its proper divisors (151306060).

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

132330020 is a wasteful number, since it uses less digits than its factorization.

132330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 132330020 is about 11503.4786043179. The cubic root of 132330020 is about 509.5883131566.

Adding to 132330020 its reverse (20033231), we get a palindrome (152363251).

The spelling of 132330020 in words is "one hundred thirty-two million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 233 292 365 389 466 730 778 932 1165 1460 1556 1945 2330 3890 4660 7780 17009 28397 34018 56794 68036 85045 90637 113588 141985 170090 181274 283970 340180 362548 453185 567940 906370 1812740 6616501 13233002 26466004 33082505 66165010 132330020