Search a number
-
+
133106640 = 2435554611
BaseRepresentation
bin1111110111100…
…00101111010000
3100021110111222120
413323300233100
5233033403030
621112534240
73204250002
oct773605720
9307414876
10133106640
1169153a97
12386b1380
1321765834
141396c372
15ba44010
hex7ef0bd0

133106640 has 40 divisors (see below), whose sum is σ = 412631328. Its totient is φ = 35495040.

The previous prime is 133106627. The next prime is 133106683. The reversal of 133106640 is 46601331.

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

It is a super-2 number, since 2×1331066402 = 35434755224179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133106640.

It is a congruent number.

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, 277066 + ... + 277545.

Almost surely, 2133106640 is an apocalyptic number.

133106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133106640 is an abundant number, since it is smaller than the sum of its proper divisors (279524688).

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

133106640 is a wasteful number, since it uses less digits than its factorization.

133106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554627 (or 554621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133106640 is about 11537.1850986278. The cubic root of 133106640 is about 510.5832619556.

Adding to 133106640 its reverse (46601331), we get a palindrome (179707971).

The spelling of 133106640 in words is "one hundred thirty-three million, one hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 554611 1109222 1663833 2218444 2773055 3327666 4436888 5546110 6655332 8319165 8873776 11092220 13310664 16638330 22184440 26621328 33276660 44368880 66553320 133106640