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81320384 = 2617411823
BaseRepresentation
bin1001101100011…
…01100111000000
312200000111121002
410312031213000
5131304223014
612022551132
72005132445
oct466154700
9180014532
1081320384
11419a3232
12232984a8
1313b03392
14ab2b9cc
157214dde
hex4d8d9c0

81320384 has 56 divisors (see below), whose sum is σ = 175125888. Its totient is φ = 37314560.

The previous prime is 81320377. The next prime is 81320417. The reversal of 81320384 is 48302318.

It is a happy number.

It is a super-2 number, since 2×813203842 = 13226009707814912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 43697 + ... + 45519.

It is an arithmetic number, because the mean of its divisors is an integer number (3127248).

Almost surely, 281320384 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 81320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562944).

81320384 is an abundant number, since it is smaller than the sum of its proper divisors (93805504).

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

81320384 is a wasteful number, since it uses less digits than its factorization.

81320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 81320384 is about 9017.7815453691. The cubic root of 81320384 is about 433.2445819555.

The spelling of 81320384 in words is "eighty-one million, three hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 1823 2624 2788 3646 5576 7292 11152 14584 22304 29168 30991 44608 58336 61982 74743 116672 123964 149486 247928 298972 495856 597944 991712 1195888 1270631 1983424 2391776 2541262 4783552 5082524 10165048 20330096 40660192 81320384