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132102320 = 2457419563
BaseRepresentation
bin1111101111110…
…11100010110000
3100012120111022112
413313323202300
5232304233240
621035224452
73162564650
oct767734260
9305514275
10132102320
1168628479
12382a8128
13214a366c
141378a360
15b8e6665
hex7dfb8b0

132102320 has 80 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 45103872.

The previous prime is 132102319. The next prime is 132102323. The reversal of 132102320 is 23201231.

It is a happy number.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 132102295 and 132102304.

It is not an unprimeable number, because it can be changed into a prime (132102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234359 + ... + 234921.

It is an arithmetic number, because the mean of its divisors is an integer number (4405968).

Almost surely, 2132102320 is an apocalyptic number.

132102320 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 132102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

132102320 is an abundant number, since it is smaller than the sum of its proper divisors (220375120).

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

132102320 is a wasteful number, since it uses less digits than its factorization.

132102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132102320 is about 11493.5773369304. The cubic root of 132102320 is about 509.2958628234.

Adding to 132102320 its reverse (23201231), we get a palindrome (155303551).

The spelling of 132102320 in words is "one hundred thirty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 563 838 1126 1676 2095 2252 2815 2933 3352 3941 4190 4504 5630 5866 6704 7882 8380 9008 11260 11732 14665 15764 16760 19705 22520 23464 29330 31528 33520 39410 45040 46928 58660 63056 78820 117320 157640 234640 235897 315280 471794 943588 1179485 1651279 1887176 2358970 3302558 3774352 4717940 6605116 8256395 9435880 13210232 16512790 18871760 26420464 33025580 66051160 132102320