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814000080 = 24353391667
BaseRepresentation
bin110000100001001…
…010011111010000
32002201200111012010
4300201022133100
53131341000310
6212434502520
726112613035
oct6041123720
92081614163
10814000080
11388533343
121a8734a40
13cc84536a
147a17138c
154b6e0320
hex3084a7d0

814000080 has 40 divisors (see below), whose sum is σ = 2523400992. Its totient is φ = 217066624.

The previous prime is 814000067. The next prime is 814000093. The reversal of 814000080 is 80000418.

It is an interprime number because it is at equal distance from previous prime (814000067) and next prime (814000093).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8140000802 = 1325192260480012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695594 + ... + 1696073.

Almost surely, 2814000080 is an apocalyptic number.

814000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814000080 is an abundant number, since it is smaller than the sum of its proper divisors (1709400912).

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

814000080 is a wasteful number, since it uses less digits than its factorization.

814000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391683 (or 3391677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 814000080 is about 28530.6866373735. The cubic root of 814000080 is about 933.7016992662.

Adding to 814000080 its reverse (80000418), we get a palindrome (894000498).

The spelling of 814000080 in words is "eight hundred fourteen million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3391667 6783334 10175001 13566668 16958335 20350002 27133336 33916670 40700004 50875005 54266672 67833340 81400008 101750010 135666680 162800016 203500020 271333360 407000040 814000080