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2082368736 = 25347114769
BaseRepresentation
bin111110000011110…
…0110110011100000
312101010100021220000
41330013212303200
513231041244421
6542344220000
7102413561610
oct17407466340
95333307800
102082368736
119794964a8
124a146a600
13272556966
1415a7baa40
15c2c33226
hex7c1e6ce0

2082368736 has 120 divisors (see below), whose sum is σ = 6999133680. Its totient is φ = 594957312.

The previous prime is 2082368723. The next prime is 2082368747. The reversal of 2082368736 is 6378632802.

It is a junction number, because it is equal to n+sod(n) for n = 2082368691 and 2082368700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39241 + ... + 75528.

It is an arithmetic number, because the mean of its divisors is an integer number (58326114).

Almost surely, 22082368736 is an apocalyptic number.

It is an amenable number.

2082368736 is an abundant number, since it is smaller than the sum of its proper divisors (4916764944).

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

2082368736 is a wasteful number, since it uses less digits than its factorization.

2082368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114798 (or 114781 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2082368736 is about 45632.9786010074. The cubic root of 2082368736 is about 1276.9852422170.

The spelling of 2082368736 in words is "two billion, eighty-two million, three hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 114769 229538 344307 459076 688614 803383 918152 1032921 1377228 1606766 1836304 2065842 2410149 2754456 3098763 3213532 3672608 4131684 4820298 5508912 6197526 6427064 7230447 8263368 9296289 9640596 11017824 12395052 12854128 14460894 16526736 18592578 19281192 21691341 24790104 25708256 28921788 33053472 37185156 38562384 43382682 49580208 57843576 65074023 74370312 77124768 86765364 99160416 115687152 130148046 148740624 173530728 231374304 260296092 297481248 347061456 520592184 694122912 1041184368 2082368736