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81850580 = 22572174
BaseRepresentation
bin1001110000011…
…11000011010100
312201000102212222
410320033003110
5131423204310
612042201512
72012501300
oct470170324
9181012788
1081850580
1142225609
12234b3298
1313c5a7c6
14ac28d00
1572bc055
hex4e0f0d4

81850580 has 90 divisors (see below), whose sum is σ = 212445954. Its totient is φ = 26412288.

The previous prime is 81850579. The next prime is 81850591. The reversal of 81850580 is 8505818.

It can be written as a sum of positive squares in 5 ways, for example, as 1317904 + 80532676 = 1148^2 + 8974^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 81850580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4814732 + ... + 4814748.

Almost surely, 281850580 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 81850580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106222977).

81850580 is an abundant number, since it is smaller than the sum of its proper divisors (130595374).

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

81850580 is an equidigital number, since it uses as much as digits as its factorization.

81850580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 81850580 is about 9047.1310369641. The cubic root of 81850580 is about 434.1841050332.

The spelling of 81850580 in words is "eighty-one million, eight hundred fifty thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 289 340 476 490 578 595 833 980 1156 1190 1445 1666 2023 2380 2890 3332 4046 4165 4913 5780 8092 8330 9826 10115 14161 16660 19652 20230 24565 28322 34391 40460 49130 56644 68782 70805 83521 98260 137564 141610 167042 171955 240737 283220 334084 343910 417605 481474 584647 687820 835210 962948 1169294 1203685 1670420 2338588 2407370 2923235 4092529 4814740 5846470 8185058 11692940 16370116 20462645 40925290 81850580