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2426023140 = 2235712112699
BaseRepresentation
bin1001000010011010…
…0010110011100100
320021001222202002220
42100212202303210
514432030220030
61040422032340
7114055566522
oct22046426344
96231882086
102426023140
111035477102
125785786b0
132c87ca768
141902b5312
15e2eb6a10
hex909a2ce4

2426023140 has 96 divisors (see below), whose sum is σ = 6923750400. Its totient is φ = 634569600.

The previous prime is 2426023123. The next prime is 2426023157. The reversal of 2426023140 is 413206242.

It is an interprime number because it is at equal distance from previous prime (2426023123) and next prime (2426023157).

It is a self number, because there is not a number n which added to its sum of digits gives 2426023140.

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 31 ways as a sum of consecutive naturals, for example, 897511 + ... + 900209.

It is an arithmetic number, because the mean of its divisors is an integer number (72122400).

Almost surely, 22426023140 is an apocalyptic number.

2426023140 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 2426023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461875200).

2426023140 is an abundant number, since it is smaller than the sum of its proper divisors (4497727260).

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

2426023140 is a wasteful number, since it uses less digits than its factorization.

2426023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2991 counting only the distinct ones).

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

The square root of 2426023140 is about 49254.6763262129. The cubic root of 2426023140 is about 1343.6876111939.

Adding to 2426023140 its reverse (413206242), we get a palindrome (2839229382).

The spelling of 2426023140 in words is "two billion, four hundred twenty-six million, twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 211 213 284 355 422 426 633 710 844 852 1055 1065 1266 1420 2110 2130 2532 2699 3165 4220 4260 5398 6330 8097 10796 12660 13495 14981 16194 26990 29962 32388 40485 44943 53980 59924 74905 80970 89886 149810 161940 179772 191629 224715 299620 383258 449430 569489 574887 766516 898860 958145 1138978 1149774 1708467 1916290 2277956 2299548 2847445 2874435 3416934 3832580 5694890 5748870 6833868 8542335 11389780 11497740 17084670 34169340 40433719 80867438 121301157 161734876 202168595 242602314 404337190 485204628 606505785 808674380 1213011570 2426023140