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132013320 = 23356171783
BaseRepresentation
bin1111101111001…
…01110100001000
3100012101222020020
413313211310020
5232243411240
621033300440
73162044325
oct767456410
9305358206
10132013320
116857761a
1238264720
1321471cba
1413765b4c
15b8ca0d0
hex7de5d08

132013320 has 64 divisors (see below), whose sum is σ = 396904320. Its totient is φ = 35126784.

The previous prime is 132013303. The next prime is 132013327. The reversal of 132013320 is 23310231.

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 132013320.

It is not an unprimeable number, because it can be changed into a prime (132013327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73149 + ... + 74931.

It is an arithmetic number, because the mean of its divisors is an integer number (6201630).

Almost surely, 2132013320 is an apocalyptic number.

132013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013320 is an abundant number, since it is smaller than the sum of its proper divisors (264891000).

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

132013320 is a wasteful number, since it uses less digits than its factorization.

132013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132013320 is about 11489.7049570474. The cubic root of 132013320 is about 509.1814628267.

Adding to 132013320 its reverse (23310231), we get a palindrome (155323551).

The spelling of 132013320 in words is "one hundred thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 617 1234 1783 1851 2468 3085 3566 3702 4936 5349 6170 7132 7404 8915 9255 10698 12340 14264 14808 17830 18510 21396 24680 26745 35660 37020 42792 53490 71320 74040 106980 213960 1100111 2200222 3300333 4400444 5500555 6600666 8800888 11001110 13201332 16501665 22002220 26402664 33003330 44004440 66006660 132013320