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81323320 = 23513433637
BaseRepresentation
bin1001101100011…
…10010100111000
312200000122121211
410312032110320
5131304321240
612023012504
72005144141
oct466162470
9180018554
1081323320
11419a5461
122329a134
1313b04810
14ab2cac8
157215bea
hex4d8e538

81323320 has 64 divisors (see below), whose sum is σ = 201690720. Its totient is φ = 29320704.

The previous prime is 81323293. The next prime is 81323353. The reversal of 81323320 is 2332318.

It is a happy number.

It is a super-2 number, since 2×813233202 = 13226964751644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81323291 and 81323300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20542 + ... + 24178.

Almost surely, 281323320 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 81323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100845360).

81323320 is an abundant number, since it is smaller than the sum of its proper divisors (120367400).

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

81323320 is a wasteful number, since it uses less digits than its factorization.

81323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 81323320 is about 9017.9443333833. The cubic root of 81323320 is about 433.2497958626.

Adding to 81323320 its reverse (2332318), we get a palindrome (83655638).

The spelling of 81323320 in words is "eighty-one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 3637 4472 5590 7274 11180 14548 18185 22360 29096 36370 47281 72740 94562 145480 156391 189124 236405 312782 378248 472810 625564 781955 945620 1251128 1563910 1891240 2033083 3127820 4066166 6255640 8132332 10165415 16264664 20330830 40661660 81323320