Search a number
-
+
133146640 = 24511151303
BaseRepresentation
bin1111110111110…
…10100000010000
3100021112112212001
413323322200100
5233041143030
621113443344
73204504424
oct773724020
9307475761
10133146640
1169181050
1238710554
132177aac3
141397cb84
15ba50cca
hex7efa810

133146640 has 40 divisors (see below), whose sum is σ = 337710528. Its totient is φ = 48416640.

The previous prime is 133146617. The next prime is 133146659. The reversal of 133146640 is 46641331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133146599 and 133146608.

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, 74772 + ... + 76531.

Almost surely, 2133146640 is an apocalyptic number.

133146640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133146640 is an abundant number, since it is smaller than the sum of its proper divisors (204563888).

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

133146640 is a wasteful number, since it uses less digits than its factorization.

133146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151327 (or 151321 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 133146640 is about 11538.9184935158. The cubic root of 133146640 is about 510.6344021167.

Adding to 133146640 its reverse (46641331), we get a palindrome (179787971).

The spelling of 133146640 in words is "one hundred thirty-three million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 151303 302606 605212 756515 1210424 1513030 1664333 2420848 3026060 3328666 6052120 6657332 8321665 12104240 13314664 16643330 26629328 33286660 66573320 133146640