Search a number
-
+
2520304060 = 2251761137887
BaseRepresentation
bin1001011000111000…
…1100100110111100
320111122101201012211
42112032030212330
520130144212220
61054030510204
7116312142151
oct22616144674
96448351184
102520304060
11108371181a
125a4065364
133121bb0a1
1419ca18228
15eb3dbb5a
hex9638c9bc

2520304060 has 96 divisors (see below), whose sum is σ = 5743882368. Its totient is φ = 925409280.

The previous prime is 2520304037. The next prime is 2520304063. The reversal of 2520304060 is 604030252.

It is a happy number.

2520304060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520304063) 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, 2840937 + ... + 2841823.

It is an arithmetic number, because the mean of its divisors is an integer number (59832108).

Almost surely, 22520304060 is an apocalyptic number.

2520304060 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 2520304060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871941184).

2520304060 is an abundant number, since it is smaller than the sum of its proper divisors (3223578308).

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

2520304060 is a wasteful number, since it uses less digits than its factorization.

2520304060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2520304060 is about 50202.6300107873. The cubic root of 2520304060 is about 1360.8731525305.

The spelling of 2520304060 in words is "two billion, five hundred twenty million, three hundred four thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 137 170 244 274 305 340 548 610 685 887 1037 1220 1370 1774 2074 2329 2740 3548 4148 4435 4658 5185 8357 8870 9316 10370 11645 15079 16714 17740 20740 23290 30158 33428 41785 46580 54107 60316 75395 83570 108214 121519 142069 150790 167140 216428 243038 270535 284138 301580 486076 541070 568276 607595 710345 919819 1082140 1215190 1420690 1839638 2065823 2430380 2841380 3679276 4131646 4599095 7412659 8263292 9198190 10329115 14825318 18396380 20658230 29650636 37063295 41316460 74126590 126015203 148253180 252030406 504060812 630076015 1260152030 2520304060