Search a number
-
+
2623131084 = 22372910131063
BaseRepresentation
bin1001110001011001…
…1100110111001100
320202210212212101010
42130112130313030
520333010143314
61112142445220
7122001150330
oct23426346714
96683785333
102623131084
111126764232
12612593810
1332a5b1592
141ac5437c0
1510544e059
hex9c59cdcc

2623131084 has 96 divisors (see below), whose sum is σ = 7250181120. Its totient is φ = 722227968.

The previous prime is 2623131083. The next prime is 2623131103. The reversal of 2623131084 is 4801313262.

It is not an unprimeable number, because it can be changed into a prime (2623131083) 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 31 ways as a sum of consecutive naturals, for example, 2467137 + ... + 2468199.

It is an arithmetic number, because the mean of its divisors is an integer number (75522720).

Almost surely, 22623131084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623131084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625090560).

2623131084 is an abundant number, since it is smaller than the sum of its proper divisors (4627050036).

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

2623131084 is a wasteful number, since it uses less digits than its factorization.

2623131084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2623131084 is about 51216.5118296824. The cubic root of 2623131084 is about 1379.1346328443.

The spelling of 2623131084 in words is "two billion, six hundred twenty-three million, one hundred thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1013 1063 1218 2026 2126 2436 3039 3189 4052 4252 6078 6378 7091 7441 12156 12756 14182 14882 21273 22323 28364 29377 29764 30827 42546 44646 58754 61654 85092 88131 89292 92481 117508 123308 176262 184962 205639 215789 352524 369924 411278 431578 616917 647367 822556 863156 1076819 1233834 1294734 2153638 2467668 2589468 3230457 4307276 6460914 7537733 12921828 15075466 22613199 30150932 31227751 45226398 62455502 90452796 93683253 124911004 187366506 218594257 374733012 437188514 655782771 874377028 1311565542 2623131084