Search a number
-
+
132555540 = 223513169943
BaseRepresentation
bin1111110011010…
…10001100010100
3100020102112000110
413321222030110
5232413234130
621053043020
73166463205
oct771521424
9306375013
10132555540
1168907a37
1238486470
1321601a40
14138675ac
15b985ab0
hex7e6a314

132555540 has 48 divisors (see below), whose sum is σ = 399708288. Its totient is φ = 32628864.

The previous prime is 132555529. The next prime is 132555569. The reversal of 132555540 is 45555231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132555498 and 132555507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84192 + ... + 85751.

It is an arithmetic number, because the mean of its divisors is an integer number (8327256).

Almost surely, 2132555540 is an apocalyptic number.

132555540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132555540 is an abundant number, since it is smaller than the sum of its proper divisors (267152748).

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

132555540 is a wasteful number, since it uses less digits than its factorization.

132555540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169968 (or 169966 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 132555540 is about 11513.2766838985. The cubic root of 132555540 is about 509.8776330797.

It can be divided in two parts, 1325 and 55540, that added together give a palindrome (56865).

The spelling of 132555540 in words is "one hundred thirty-two million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 169943 339886 509829 679772 849715 1019658 1699430 2039316 2209259 2549145 3398860 4418518 5098290 6627777 8837036 10196580 11046295 13255554 22092590 26511108 33138885 44185180 66277770 132555540