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2364623140 = 2251121675851
BaseRepresentation
bin1000110011110001…
…0100100100100100
320002210110022010211
42030330110210210
514320320420030
61030350025204
7112411652005
oct21474244444
96083408124
102364623140
11100384a400
1255baa8204
132b8b804b9
141860911ac
15dc8d912a
hex8cf14924

2364623140 has 72 divisors (see below), whose sum is σ = 5491797696. Its totient is φ = 854568000.

The previous prime is 2364623137. The next prime is 2364623153. The reversal of 2364623140 is 413264632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401215 + ... + 407065.

It is an arithmetic number, because the mean of its divisors is an integer number (76274968).

Almost surely, 22364623140 is an apocalyptic number.

2364623140 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 2364623140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745898848).

2364623140 is an abundant number, since it is smaller than the sum of its proper divisors (3127174556).

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

2364623140 is a wasteful number, since it uses less digits than its factorization.

2364623140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2364623140 is about 48627.3908409653. The cubic root of 2364623140 is about 1332.2548555383.

Adding to 2364623140 its reverse (413264632), we get a palindrome (2777887772).

The spelling of 2364623140 in words is "two billion, three hundred sixty-four million, six hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 167 220 242 334 484 605 668 835 1210 1670 1837 2420 3340 3674 5851 7348 9185 11702 18370 20207 23404 29255 36740 40414 58510 64361 80828 101035 117020 128722 202070 257444 321805 404140 643610 707971 977117 1287220 1415942 1954234 2831884 3539855 3908468 4885585 7079710 9771170 10748287 14159420 19542340 21496574 42993148 53741435 107482870 118231157 214965740 236462314 472924628 591155785 1182311570 2364623140