Search a number
-
+
132960384 = 2732211547
BaseRepresentation
bin1111110110011…
…01000010000000
3100021012002100200
413323031002000
5233014213014
621105445200
73203100414
oct773150200
9307162320
10132960384
1169064117
1238640800
13217140ab
1413930d44
15ba15a09
hex7ecd080

132960384 has 96 divisors (see below), whose sum is σ = 385123440. Its totient is φ = 44029440.

The previous prime is 132960379. The next prime is 132960403. The reversal of 132960384 is 483069231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242799 + ... + 243345.

Almost surely, 2132960384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192561720).

132960384 is an abundant number, since it is smaller than the sum of its proper divisors (252163056).

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

132960384 is a wasteful number, since it uses less digits than its factorization.

132960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132960384 is about 11530.8448953232. The cubic root of 132960384 is about 510.3961858056.

The spelling of 132960384 in words is "one hundred thirty-two million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 547 576 633 844 1094 1152 1266 1641 1688 1899 2188 2532 3282 3376 3798 4376 4923 5064 6564 6752 7596 8752 9846 10128 13128 13504 15192 17504 19692 20256 26256 27008 30384 35008 39384 40512 52512 60768 70016 78768 81024 105024 115417 121536 157536 210048 230834 243072 315072 346251 461668 630144 692502 923336 1038753 1385004 1846672 2077506 2770008 3693344 4155012 5540016 7386688 8310024 11080032 14773376 16620048 22160064 33240096 44320128 66480192 132960384