Search a number
-
+
132640530 = 235111133557
BaseRepresentation
bin1111110011111…
…10111100010010
3100020120211121020
413321332330102
5232423444110
621054540310
73200266041
oct771767422
9306524536
10132640530
1168965880
1238507696
1321631629
141388a558
15b9a0d70
hex7e7ef12

132640530 has 64 divisors (see below), whose sum is σ = 350448768. Its totient is φ = 31861760.

The previous prime is 132640499. The next prime is 132640531. The reversal of 132640530 is 35046231.

It is a happy number.

It is a super-4 number, since 4×1326405304 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132640530.

It is not an unprimeable number, because it can be changed into a prime (132640531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35512 + ... + 39068.

It is an arithmetic number, because the mean of its divisors is an integer number (5475762).

Almost surely, 2132640530 is an apocalyptic number.

132640530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132640530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175224384).

132640530 is an abundant number, since it is smaller than the sum of its proper divisors (217808238).

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

132640530 is a wasteful number, since it uses less digits than its factorization.

132640530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132640530 is about 11516.9670486635. The cubic root of 132640530 is about 509.9865817308.

Adding to 132640530 its reverse (35046231), we get a palindrome (167686761).

The spelling of 132640530 in words is "one hundred thirty-two million, six hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 565 678 1130 1243 1695 2486 3390 3557 3729 6215 7114 7458 10671 12430 17785 18645 21342 35570 37290 39127 53355 78254 106710 117381 195635 234762 391270 401941 586905 803882 1173810 1205823 2009705 2411646 4019410 4421351 6029115 8842702 12058230 13264053 22106755 26528106 44213510 66320265 132640530