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81718740 = 22335413691
BaseRepresentation
bin1001101111011…
…10110111010100
312200202202001000
410313232313110
5131404444430
612035303300
72011412025
oct467566724
9180682030
1081718740
1142145554
122344ab30
1313c127ac
14abd2c4c
157292e60
hex4deedd4

81718740 has 96 divisors (see below), whose sum is σ = 260507520. Its totient is φ = 21254400.

The previous prime is 81718673. The next prime is 81718751. The reversal of 81718740 is 4781718.

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 = 81718695 and 81718704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20295 + ... + 23985.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 281718740 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 81718740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130253760).

81718740 is an abundant number, since it is smaller than the sum of its proper divisors (178788780).

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

81718740 is a wasteful number, since it uses less digits than its factorization.

81718740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 81718740 is about 9039.8418127753. The cubic root of 81718740 is about 433.9508605269.

The spelling of 81718740 in words is "eighty-one million, seven hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 3691 4428 5535 7380 7382 11070 11073 14764 18455 22140 22146 33219 36910 44292 55365 66438 73820 99657 110730 132876 151331 166095 199314 221460 302662 332190 398628 453993 498285 605324 664380 756655 907986 996570 1361979 1513310 1815972 1993140 2269965 2723958 3026620 4085937 4539930 5447916 6809895 8171874 9079860 13619790 16343748 20429685 27239580 40859370 81718740