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81872340 = 223511177297
BaseRepresentation
bin1001110000101…
…00010111010100
312201001112201220
410320110113110
5131424403330
612042450340
72012621604
oct470242724
9181045656
1081872340
114223a9a0
12235039b0
1313c67694
14ac32c04
1572c3710
hex4e145d4

81872340 has 96 divisors (see below), whose sum is σ = 264829824. Its totient is φ = 18677760.

The previous prime is 81872339. The next prime is 81872359. The reversal of 81872340 is 4327818.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7572 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (2758644).

Almost surely, 281872340 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 81872340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132414912).

81872340 is an abundant number, since it is smaller than the sum of its proper divisors (182957484).

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

81872340 is a wasteful number, since it uses less digits than its factorization.

81872340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 81872340 is about 9048.3335482286. Note that the first 3 decimals coincide. The cubic root of 81872340 is about 434.2225776134. Note that the first 3 decimals are identical.

The spelling of 81872340 in words is "eighty-one million, eight hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 7297 11220 14594 21891 29188 36485 43782 72970 80267 87564 109455 124049 145940 160534 218910 240801 248098 321068 372147 401335 437820 481602 496196 620245 744294 802670 963204 1204005 1240490 1364539 1488588 1605340 1860735 2408010 2480980 2729078 3721470 4093617 4816020 5458156 6822695 7442940 8187234 13645390 16374468 20468085 27290780 40936170 81872340