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81471780 = 223251337941
BaseRepresentation
bin1001101101100…
…10100100100100
312200022012021100
410312302210210
5131324044110
612030120100
72006333025
oct466624444
9180265240
1081471780
1141a96a55
1223350030
1313b57270
14ab6ac4c
157244bc0
hex4db2924

81471780 has 144 divisors (see below), whose sum is σ = 273624624. Its totient is φ = 19491840.

The previous prime is 81471763. The next prime is 81471857. The reversal of 81471780 is 8717418.

It can be written as a sum of positive squares in 8 ways, for example, as 39204 + 81432576 = 198^2 + 9024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86110 + ... + 87050.

It is an arithmetic number, because the mean of its divisors is an integer number (1900171).

Almost surely, 281471780 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 81471780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136812312).

81471780 is an abundant number, since it is smaller than the sum of its proper divisors (192152844).

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

81471780 is a wasteful number, since it uses less digits than its factorization.

81471780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1001 counting only the distinct ones).

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

The square root of 81471780 is about 9026.1719460688. The cubic root of 81471780 is about 433.5132756957.

The spelling of 81471780 in words is "eighty-one million, four hundred seventy-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 941 962 1110 1170 1332 1443 1665 1882 1924 2220 2340 2405 2823 2886 3330 3764 4329 4705 4810 5646 5772 6660 7215 8469 8658 9410 9620 11292 12233 14115 14430 16938 17316 18820 21645 24466 28230 28860 33876 34817 36699 42345 43290 48932 56460 61165 69634 73398 84690 86580 104451 110097 122330 139268 146796 169380 174085 183495 208902 220194 244660 313353 348170 366990 417804 440388 452621 522255 550485 626706 696340 733980 905242 1044510 1100970 1253412 1357863 1566765 1810484 2089020 2201940 2263105 2715726 3133530 4073589 4526210 5431452 6267060 6789315 8147178 9052420 13578630 16294356 20367945 27157260 40735890 81471780