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132022320 = 24351513643
BaseRepresentation
bin1111101111010…
…00000000110000
3100012102102120120
413313220000300
5232244203240
621033410240
73162112503
oct767500060
9305372516
10132022320
1168583361
1238269980
1321476121
141376913a
15b8ccad0
hex7de8030

132022320 has 80 divisors (see below), whose sum is σ = 412092672. Its totient is φ = 34963200.

The previous prime is 132022309. The next prime is 132022343. The reversal of 132022320 is 23220231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132022320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34419 + ... + 38061.

Almost surely, 2132022320 is an apocalyptic number.

132022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206046336).

132022320 is an abundant number, since it is smaller than the sum of its proper divisors (280070352).

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

132022320 is a wasteful number, since it uses less digits than its factorization.

132022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132022320 is about 11490.0966053380. The cubic root of 132022320 is about 509.1930337021.

Adding to 132022320 its reverse (23220231), we get a palindrome (155242551).

The spelling of 132022320 in words is "one hundred thirty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 151 240 302 453 604 755 906 1208 1510 1812 2265 2416 3020 3624 3643 4530 6040 7248 7286 9060 10929 12080 14572 18120 18215 21858 29144 36240 36430 43716 54645 58288 72860 87432 109290 145720 174864 218580 291440 437160 550093 874320 1100186 1650279 2200372 2750465 3300558 4400744 5500930 6601116 8251395 8801488 11001860 13202232 16502790 22003720 26404464 33005580 44007440 66011160 132022320