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81394164 = 223217179743
BaseRepresentation
bin1001101100111…
…11100111110100
312200011020210200
410312133213310
5131314103124
612024320500
72005560525
oct466374764
9180136720
1081394164
1141a43705
1223313130
1313b2ab37
14ab4a84c
15722bbc9
hex4d9f9f4

81394164 has 72 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 25358592.

The previous prime is 81394163. The next prime is 81394169. The reversal of 81394164 is 46149318.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81394163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109177 + ... + 109919.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 281394164 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 81394164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

81394164 is an abundant number, since it is smaller than the sum of its proper divisors (137966796).

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

81394164 is a wasteful number, since it uses less digits than its factorization.

81394164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 944 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 81394164 is about 9021.8714244884. The cubic root of 81394164 is about 433.3755664295.

The spelling of 81394164 in words is "eighty-one million, three hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 179 204 306 358 537 612 716 743 1074 1486 1611 2148 2229 2972 3043 3222 4458 6086 6444 6687 8916 9129 12172 12631 13374 18258 25262 26748 27387 36516 37893 50524 54774 75786 109548 113679 132997 151572 227358 265994 398991 454716 531988 797982 1196973 1595964 2260949 2393946 4521898 4787892 6782847 9043796 13565694 20348541 27131388 40697082 81394164