Search a number
-
+
132606144 = 26321120929
BaseRepresentation
bin1111110011101…
…10100011000000
3100020112002102200
413321312203000
5232421344034
621054113200
73200063556
oct771664300
9306462380
10132606144
1168941a60
12384ab800
132161ba98
141387bbd6
15b995a99
hex7e768c0

132606144 has 84 divisors (see below), whose sum is σ = 414665160. Its totient is φ = 40181760.

The previous prime is 132606107. The next prime is 132606151. The reversal of 132606144 is 441606231.

132606144 is a `hidden beast` number, since 13 + 2 + 606 + 1 + 44 = 666.

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, 4129 + ... + 16800.

It is an arithmetic number, because the mean of its divisors is an integer number (4936490).

Almost surely, 2132606144 is an apocalyptic number.

It is an amenable number.

132606144 is an abundant number, since it is smaller than the sum of its proper divisors (282059016).

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

132606144 is a wasteful number, since it uses less digits than its factorization.

132606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20958 (or 20945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132606144 is about 11515.4741109518. The cubic root of 132606144 is about 509.9425079367.

It can be divided in two parts, 132 and 606144, that multiplied together give a palindrome (80011008).

The spelling of 132606144 in words is "one hundred thirty-two million, six hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 20929 41858 62787 83716 125574 167432 188361 230219 251148 334864 376722 460438 502296 669728 690657 753444 920876 1004592 1339456 1381314 1506888 1841752 2009184 2071971 2762628 3013776 3683504 4018368 4143942 5525256 6027552 7367008 8287884 11050512 12055104 14734016 16575768 22101024 33151536 44202048 66303072 132606144