Search a number
-
+
6133234640 = 245135897341
BaseRepresentation
bin1011011011001000…
…11011101111010000
3120211102202121020112
411231210123233100
5100030102002030
62452332300452
7304662430361
oct55544335720
916742677215
106133234640
112668061a65
121232011728
13769877930
144227b1b68
1525d6a4a95
hex16d91bbd0

6133234640 has 40 divisors (see below), whose sum is σ = 15356678568. Its totient is φ = 2264578560.

The previous prime is 6133234603. The next prime is 6133234643. The reversal of 6133234640 is 464323316.

It can be written as a sum of positive squares in 4 ways, for example, as 1116629056 + 5016605584 = 33416^2 + 70828^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6133234597 and 6133234606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133234643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2947631 + ... + 2949710.

Almost surely, 26133234640 is an apocalyptic number.

It is an amenable number.

6133234640 is an abundant number, since it is smaller than the sum of its proper divisors (9223443928).

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

6133234640 is a wasteful number, since it uses less digits than its factorization.

6133234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897367 (or 5897361 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 6133234640 is about 78314.9707271860. The cubic root of 6133234640 is about 1830.4724351831.

Adding to 6133234640 its reverse (464323316), we get a palindrome (6597557956).

The spelling of 6133234640 in words is "six billion, one hundred thirty-three million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 5897341 11794682 23589364 29486705 47178728 58973410 76665433 94357456 117946820 153330866 235893640 306661732 383327165 471787280 613323464 766654330 1226646928 1533308660 3066617320 6133234640