Search a number
-
+
81012393 = 3471131419
BaseRepresentation
bin1001101010000…
…10011010101001
312122102212010000
410311002122221
5131214344033
612012213213
72002410510
oct465023251
9178385100
1081012393
11418028a0
122316a209
1313a26137
14aa8b677
1571a3a13
hex4d426a9

81012393 has 80 divisors (see below), whose sum is σ = 156119040. Its totient is φ = 40629600.

The previous prime is 81012377. The next prime is 81012413. The reversal of 81012393 is 39321018.

It is not a de Polignac number, because 81012393 - 24 = 81012377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81012193) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193138 + ... + 193556.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 281012393 is an apocalyptic number.

It is an amenable number.

81012393 is a deficient number, since it is larger than the sum of its proper divisors (75106647).

81012393 is a wasteful number, since it uses less digits than its factorization.

81012393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 81012393 is about 9000.6884736669. The cubic root of 81012393 is about 432.6969363854.

It can be divided in two parts, 810 and 12393, that added together give a triangular number (13203 = T162).

The spelling of 81012393 in words is "eighty-one million, twelve thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 81 93 99 189 217 231 279 297 341 419 567 651 693 837 891 1023 1257 1953 2079 2387 2511 2933 3069 3771 4609 5859 6237 7161 8799 9207 11313 12989 13827 17577 21483 26397 27621 32263 33939 38967 41481 64449 79191 90923 96789 116901 124443 142879 193347 237573 272769 290367 350703 373329 428637 818307 871101 1000153 1052109 1285911 2454921 2613303 3000459 3857733 7364763 9001377 11573199 27004131 81012393