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2581399320 = 2335211269379
BaseRepresentation
bin1001100111011101…
…0000011100011000
320122220100200011020
42121313100130120
520241314234240
61104052202440
7120653350353
oct23167203430
96586320136
102581399320
111105150575
12600609420
13321a5c726
141a6b9d29a
151019590d0
hex99dd0718

2581399320 has 128 divisors (see below), whose sum is σ = 7830432000. Its totient is φ = 680762880.

The previous prime is 2581399307. The next prime is 2581399361. The reversal of 2581399320 is 239931852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6810891 + ... + 6811269.

It is an arithmetic number, because the mean of its divisors is an integer number (61175250).

Almost surely, 22581399320 is an apocalyptic number.

2581399320 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 2581399320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915216000).

2581399320 is an abundant number, since it is smaller than the sum of its proper divisors (5249032680).

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

2581399320 is a wasteful number, since it uses less digits than its factorization.

2581399320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2581399320 is about 50807.4730723739. The cubic root of 2581399320 is about 1371.7818858420.

The spelling of 2581399320 in words is "two billion, five hundred eighty-one million, three hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 269 379 422 538 633 758 807 844 1055 1076 1137 1266 1345 1516 1614 1688 1895 2110 2152 2274 2532 2690 3032 3165 3228 3790 4035 4220 4548 5064 5380 5685 6330 6456 7580 8070 8440 9096 10760 11370 12660 15160 16140 22740 25320 32280 45480 56759 79969 101951 113518 159938 170277 203902 227036 239907 283795 305853 319876 340554 399845 407804 454072 479814 509755 567590 611706 639752 681108 799690 815608 851385 959628 1019510 1135180 1199535 1223412 1362216 1529265 1599380 1702770 1919256 2039020 2270360 2399070 2446824 3058530 3198760 3405540 4078040 4798140 6117060 6811080 9596280 12234120 21511661 43023322 64534983 86046644 107558305 129069966 172093288 215116610 258139932 322674915 430233220 516279864 645349830 860466440 1290699660 2581399320