Search a number
-
+
81403056 = 24367997
BaseRepresentation
bin1001101101000…
…01110010110000
312200011201000000
410312201302300
5131314344211
612024430000
72005625460
oct466416260
9180151000
1081403056
1141a4a359
1223318300
1313b31bb7
14ab4dba0
15722e656
hex4da1cb0

81403056 has 140 divisors (see below), whose sum is σ = 270521872. Its totient is φ = 23234688.

The previous prime is 81403051. The next prime is 81403061. The reversal of 81403056 is 65030418.

It is an interprime number because it is at equal distance from previous prime (81403051) and next prime (81403061).

It is a super-2 number, since 2×814030562 = 13252915052278272, which contains 22 as substring.

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 (81403051) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81150 + ... + 82146.

Almost surely, 281403056 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 81403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135260936).

81403056 is an abundant number, since it is smaller than the sum of its proper divisors (189118816).

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

81403056 is an equidigital number, since it uses as much as digits as its factorization.

81403056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 81403056 is about 9022.3642134421. The cubic root of 81403056 is about 433.3913473939.

The spelling of 81403056 in words is "eighty-one million, four hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 997 1008 1134 1296 1458 1512 1701 1944 1994 2268 2916 2991 3024 3402 3888 3988 4536 5103 5832 5982 6804 6979 7976 8973 9072 10206 11664 11964 13608 13958 15952 17946 20412 20937 23928 26919 27216 27916 35892 40824 41874 47856 53838 55832 62811 71784 80757 81648 83748 107676 111664 125622 143568 161514 167496 188433 215352 242271 251244 323028 334992 376866 430704 484542 502488 565299 646056 726813 753732 969084 1004976 1130598 1292112 1453626 1507464 1695897 1938168 2261196 2907252 3014928 3391794 3876336 4522392 5087691 5814504 6783588 9044784 10175382 11629008 13567176 20350764 27134352 40701528 81403056