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2382097680 = 243351102823
BaseRepresentation
bin1000110111111011…
…1110110100010000
320011000100002201000
42031332332310100
514334304111210
61032212342000
7113013332124
oct21576766420
96130302630
102382097680
1110126a5276
12565914900
132bc68b271
1418851d584
15de1dbac0
hex8dfbed10

2382097680 has 80 divisors (see below), whose sum is σ = 8205010560. Its totient is φ = 635225472.

The previous prime is 2382097673. The next prime is 2382097709. The reversal of 2382097680 is 867902832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23820976802 = 11348778714122764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549252 + ... + 553571.

It is an arithmetic number, because the mean of its divisors is an integer number (102562632).

Almost surely, 22382097680 is an apocalyptic number.

2382097680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2382097680 is an abundant number, since it is smaller than the sum of its proper divisors (5822912880).

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

2382097680 is a wasteful number, since it uses less digits than its factorization.

2382097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102845 (or 1102833 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2382097680 is about 48806.7380594114. The cubic root of 2382097680 is about 1335.5285875495.

The spelling of 2382097680 in words is "two billion, three hundred eighty-two million, ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1102823 2205646 3308469 4411292 5514115 6616938 8822584 9925407 11028230 13233876 16542345 17645168 19850814 22056460 26467752 29776221 33084690 39701628 44112920 49627035 52935504 59552442 66169380 79403256 88225840 99254070 119104884 132338760 148881105 158806512 198508140 238209768 264677520 297762210 397016280 476419536 595524420 794032560 1191048840 2382097680