Search a number
-
+
2624310420 = 2235251174257
BaseRepresentation
bin1001110001101011…
…1100110010010100
320202220002210010020
42130122330302110
520333310413140
61112224025140
7122014161534
oct23432746224
96686083106
102624310420
11112739a296
12612a621b0
1332a905304
141ac76d4c4
151055d36d0
hex9c6bcc94

2624310420 has 48 divisors (see below), whose sum is σ = 7377386688. Its totient is φ = 697024000.

The previous prime is 2624310413. The next prime is 2624310431. The reversal of 2624310420 is 240134262.

2624310420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72069 + ... + 102188.

It is an arithmetic number, because the mean of its divisors is an integer number (153695556).

Almost surely, 22624310420 is an apocalyptic number.

2624310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2624310420 is an abundant number, since it is smaller than the sum of its proper divisors (4753076268).

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

2624310420 is a wasteful number, since it uses less digits than its factorization.

2624310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174520 (or 174518 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2624310420 is about 51228.0237760544. The cubic root of 2624310420 is about 1379.3412840286.

Adding to 2624310420 its reverse (240134262), we get a palindrome (2864444682).

It can be divided in two parts, 26243 and 10420, that added together give a palindrome (36663).

The spelling of 2624310420 in words is "two billion, six hundred twenty-four million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 174257 348514 522771 697028 871285 1045542 1742570 2091084 2613855 3485140 5227710 10455420 43738507 87477014 131215521 174954028 218692535 262431042 437385070 524862084 656077605 874770140 1312155210 2624310420