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80814096 = 243211163313
BaseRepresentation
bin1001101000100…
…10000000010000
312122001210002200
410310102000100
5131142022341
612004043200
72000623416
oct464220020
9178053080
1080814096
1141687910
1223093500
1313986abc
14aa392b6
157164db6
hex4d12010

80814096 has 120 divisors (see below), whose sum is σ = 249034656. Its totient is φ = 24261120.

The previous prime is 80814079. The next prime is 80814113. The reversal of 80814096 is 69041808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80814079) and next prime (80814113).

It is a super-2 number, since 2×808140962 = 13061836224594432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80814096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258036 + ... + 258348.

Almost surely, 280814096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80814096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124517328).

80814096 is an abundant number, since it is smaller than the sum of its proper divisors (168220560).

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

80814096 is a wasteful number, since it uses less digits than its factorization.

80814096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80814096 is about 8989.6660672130. Note that the first 3 decimals coincide. The cubic root of 80814096 is about 432.3436052308.

The spelling of 80814096 in words is "eighty million, eight hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 163 176 198 264 313 326 396 489 528 626 652 792 939 978 1252 1304 1467 1584 1793 1878 1956 2504 2608 2817 2934 3443 3586 3756 3912 5008 5379 5634 5868 6886 7172 7512 7824 10329 10758 11268 11736 13772 14344 15024 16137 20658 21516 22536 23472 27544 28688 30987 32274 41316 43032 45072 51019 55088 61974 64548 82632 86064 102038 123948 129096 153057 165264 204076 247896 258192 306114 408152 459171 495792 561209 612228 816304 918342 1122418 1224456 1683627 1836684 2244836 2448912 3367254 3673368 4489672 5050881 6734508 7346736 8979344 10101762 13469016 20203524 26938032 40407048 80814096