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81568440 = 23325317309
BaseRepresentation
bin1001101110010…
…10001010111000
312200111002212100
410313022022320
5131340142230
612032143400
72010214602
oct467121270
9180432770
1081568440
1142052638
1223397b60
1313b8c265
14ab94172
157263660
hex4dca2b8

81568440 has 96 divisors (see below), whose sum is σ = 273686400. Its totient is φ = 21047040.

The previous prime is 81568433. The next prime is 81568447. The reversal of 81568440 is 4486518.

It is an interprime number because it is at equal distance from previous prime (81568433) and next prime (81568447).

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

It is a junction number, because it is equal to n+sod(n) for n = 81568395 and 81568404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81568447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7506 + ... + 14814.

It is an arithmetic number, because the mean of its divisors is an integer number (2850900).

Almost surely, 281568440 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 81568440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136843200).

81568440 is an abundant number, since it is smaller than the sum of its proper divisors (192117960).

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

81568440 is a wasteful number, since it uses less digits than its factorization.

81568440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 81568440 is about 9031.5247882071. The cubic root of 81568440 is about 433.6846513238.

The spelling of 81568440 in words is "eighty-one million, five hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 7309 11160 14618 21927 29236 36545 43854 58472 65781 73090 87708 109635 131562 146180 175416 219270 226579 263124 292360 328905 438540 453158 526248 657810 679737 877080 906316 1132895 1315620 1359474 1812632 2039211 2265790 2631240 2718948 3398685 4078422 4531580 5437896 6797370 8156844 9063160 10196055 13594740 16313688 20392110 27189480 40784220 81568440