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81361128 = 2337346439
BaseRepresentation
bin1001101100101…
…11100011101000
312200002120111010
410312113203220
5131312024003
612023503520
72005362312
oct466274350
9180076433
1081361128
1141a20902
12232b7ba0
1313b18aa4
14ab3c7b2
157222003
hex4d978e8

81361128 has 32 divisors (see below), whose sum is σ = 206193600. Its totient is φ = 26748288.

The previous prime is 81361127. The next prime is 81361139. The reversal of 81361128 is 82116318.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 81361095 and 81361104.

It is not an unprimeable number, because it can be changed into a prime (81361123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21468 + ... + 24971.

It is an arithmetic number, because the mean of its divisors is an integer number (6443550).

Almost surely, 281361128 is an apocalyptic number.

It is an amenable number.

81361128 is an abundant number, since it is smaller than the sum of its proper divisors (124832472).

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

81361128 is a wasteful number, since it uses less digits than its factorization.

81361128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46521 (or 46517 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 81361128 is about 9020.0403546769. The cubic root of 81361128 is about 433.3169261375.

The spelling of 81361128 in words is "eighty-one million, three hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 46439 92878 139317 185756 278634 371512 557268 1114536 3390047 6780094 10170141 13560188 20340282 27120376 40680564 81361128