Search a number
-
+
132076320 = 2535275159
BaseRepresentation
bin1111101111101…
…01001100100000
3100012112011122120
413313311030200
5232302420240
621034504240
73162426105
oct767651440
9305464576
10132076320
116860a992
1238295080
132149488c
1413780aac
15b8ddad0
hex7df5320

132076320 has 48 divisors (see below), whose sum is σ = 416041920. Its totient is φ = 35220224.

The previous prime is 132076319. The next prime is 132076333. The reversal of 132076320 is 23670231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137100 + ... + 138059.

It is an arithmetic number, because the mean of its divisors is an integer number (8667540).

Almost surely, 2132076320 is an apocalyptic number.

132076320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132076320 is an abundant number, since it is smaller than the sum of its proper divisors (283965600).

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

132076320 is a wasteful number, since it uses less digits than its factorization.

132076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275177 (or 275169 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 132076320 is about 11492.4462147969. The cubic root of 132076320 is about 509.2624479138.

The spelling of 132076320 in words is "one hundred thirty-two million, seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 275159 550318 825477 1100636 1375795 1650954 2201272 2751590 3301908 4127385 4402544 5503180 6603816 8254770 8805088 11006360 13207632 16509540 22012720 26415264 33019080 44025440 66038160 132076320