Search a number
-
+
2652321340 = 2251912754959
BaseRepresentation
bin1001111000010111…
…0011011000111100
320211211210212212201
42132011303120330
520412443240330
61115104241244
7122504234164
oct23605633074
96754725781
102652321340
111141191309
12620310224
13333661b16
141b23815a4
15107cb7eca
hex9e17363c

2652321340 has 48 divisors (see below), whose sum is σ = 5909299200. Its totient is φ = 997157952.

The previous prime is 2652321311. The next prime is 2652321349. The reversal of 2652321340 is 431232562.

It is a junction number, because it is equal to n+sod(n) for n = 2652321299 and 2652321308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652321349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20781 + ... + 75739.

It is an arithmetic number, because the mean of its divisors is an integer number (123110400).

Almost surely, 22652321340 is an apocalyptic number.

2652321340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954649600).

2652321340 is an abundant number, since it is smaller than the sum of its proper divisors (3256977860).

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

2652321340 is a wasteful number, since it uses less digits than its factorization.

2652321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55114 (or 55112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2652321340 is about 51500.6926167018. The cubic root of 2652321340 is about 1384.2314529044.

The spelling of 2652321340 in words is "two billion, six hundred fifty-two million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 508 635 1270 2413 2540 4826 9652 12065 24130 48260 54959 109918 219836 274795 549590 1044221 1099180 2088442 4176884 5221105 6979793 10442210 13959586 20884420 27919172 34898965 69797930 132616067 139595860 265232134 530464268 663080335 1326160670 2652321340