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132342320 = 245111011489
BaseRepresentation
bin1111110001101…
…10001000110000
3100020000200112102
413320312020300
5232334423240
621044315532
73164614445
oct770661060
9306020472
10132342320
1168781820
12383a2ba8
1321558986
141380d9cc
15b942815
hex7e36230

132342320 has 80 divisors (see below), whose sum is σ = 339219360. Its totient is φ = 47616000.

The previous prime is 132342319. The next prime is 132342349. The reversal of 132342320 is 23243231.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 132342292 and 132342301.

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, 88136 + ... + 89624.

It is an arithmetic number, because the mean of its divisors is an integer number (4240242).

Almost surely, 2132342320 is an apocalyptic number.

132342320 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 132342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169609680).

132342320 is an abundant number, since it is smaller than the sum of its proper divisors (206877040).

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

132342320 is a wasteful number, since it uses less digits than its factorization.

132342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 132342320 is about 11504.0132127880. The cubic root of 132342320 is about 509.6041013153.

Adding to 132342320 its reverse (23243231), we get a palindrome (155585551).

The spelling of 132342320 in words is "one hundred thirty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1489 1616 2020 2222 2978 4040 4444 5555 5956 7445 8080 8888 11110 11912 14890 16379 17776 22220 23824 29780 32758 44440 59560 65516 81895 88880 119120 131032 150389 163790 262064 300778 327580 601556 655160 751945 1203112 1310320 1503890 1654279 2406224 3007780 3308558 6015560 6617116 8271395 12031120 13234232 16542790 26468464 33085580 66171160 132342320