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1282468080 = 243519281243
BaseRepresentation
bin100110001110000…
…1110100011110000
310022101012010110210
41030130032203300
510111302434310
6331131424120
743531540665
oct11434164360
93271163423
101282468080
115a8a13283
122b95b5040
1317590a06a
14c2479a6c
15778ca820
hex4c70e8f0

1282468080 has 80 divisors (see below), whose sum is σ = 4184910720. Its totient is φ = 323990784.

The previous prime is 1282468051. The next prime is 1282468111. The reversal of 1282468080 is 808642821.

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

It is a congruent number.

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, 136062 + ... + 145181.

It is an arithmetic number, because the mean of its divisors is an integer number (52311384).

Almost surely, 21282468080 is an apocalyptic number.

1282468080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282468080 is an abundant number, since it is smaller than the sum of its proper divisors (2902442640).

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

1282468080 is a wasteful number, since it uses less digits than its factorization.

1282468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281278 (or 281272 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1282468080 is about 35811.5634956085. The cubic root of 1282468080 is about 1086.4644527357.

The spelling of 1282468080 in words is "one billion, two hundred eighty-two million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 281243 562486 843729 1124972 1406215 1687458 2249944 2812430 3374916 4218645 4499888 5343617 5624860 6749832 8437290 10687234 11249720 13499664 16030851 16874580 21374468 22499440 26718085 32061702 33749160 42748936 53436170 64123404 67498320 80154255 85497872 106872340 128246808 160308510 213744680 256493616 320617020 427489360 641234040 1282468080