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81627540 = 223517791013
BaseRepresentation
bin1001101110110…
…00100110010100
312200121002221020
410313120212110
5131344040130
612033321140
72010552111
oct467304624
9180532836
1081627540
1142092a85
12234061b0
1313bb0127
14abab908
157275e10
hex4dd8994

81627540 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 20207616.

The previous prime is 81627509. The next prime is 81627563. The reversal of 81627540 is 4572618.

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 31 ways as a sum of consecutive naturals, for example, 80074 + ... + 81086.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 281627540 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 81627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

81627540 is an abundant number, since it is smaller than the sum of its proper divisors (163679340).

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

81627540 is a wasteful number, since it uses less digits than its factorization.

81627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 81627540 is about 9034.7960685341. The cubic root of 81627540 is about 433.7893673765.

The spelling of 81627540 in words is "eighty-one million, six hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 79 85 102 158 170 204 237 255 316 340 395 474 510 790 948 1013 1020 1185 1343 1580 2026 2370 2686 3039 4029 4052 4740 5065 5372 6078 6715 8058 10130 12156 13430 15195 16116 17221 20145 20260 26860 30390 34442 40290 51663 60780 68884 80027 80580 86105 103326 160054 172210 206652 240081 258315 320108 344420 400135 480162 516630 800270 960324 1033260 1200405 1360459 1600540 2400810 2720918 4081377 4801620 5441836 6802295 8162754 13604590 16325508 20406885 27209180 40813770 81627540