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132420320 = 2554571811
BaseRepresentation
bin1111110010010…
…01001011100000
3100020011122112022
413321021023200
5232344422240
621050121012
73165361034
oct771111340
9306148468
10132420320
116882538a
1238420168
1321585326
14138301c4
15b95a9b5
hex7e492e0

132420320 has 48 divisors (see below), whose sum is σ = 313700688. Its totient is φ = 52823040.

The previous prime is 132420317. The next prime is 132420347. The reversal of 132420320 is 23024231.

132420320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1324203202 = 35070282297804800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 72215 + ... + 74025.

It is an arithmetic number, because the mean of its divisors is an integer number (6535431).

Almost surely, 2132420320 is an apocalyptic number.

132420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132420320 is an abundant number, since it is smaller than the sum of its proper divisors (181280368).

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

132420320 is a wasteful number, since it uses less digits than its factorization.

132420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 132420320 is about 11507.4028346973. The cubic root of 132420320 is about 509.7041985816.

Adding to 132420320 its reverse (23024231), we get a palindrome (155444551).

The spelling of 132420320 in words is "one hundred thirty-two million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 457 914 1811 1828 2285 3622 3656 4570 7244 7312 9055 9140 14488 14624 18110 18280 28976 36220 36560 57952 72440 73120 144880 289760 827627 1655254 3310508 4138135 6621016 8276270 13242032 16552540 26484064 33105080 66210160 132420320