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81122418 = 23313731583
BaseRepresentation
bin1001101010111…
…01010001110010
312122122110001000
410311131101302
5131231404133
612014422430
72003346336
oct465352162
9178573030
1081122418
1141878523
1223201a16
1313a64240
14aab97c6
1571c6413
hex4d5d472

81122418 has 64 divisors (see below), whose sum is σ = 196922880. Its totient is φ = 24603264.

The previous prime is 81122417. The next prime is 81122441. The reversal of 81122418 is 81422118.

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

It is a junction number, because it is equal to n+sod(n) for n = 81122391 and 81122400.

It is not an unprimeable number, because it can be changed into a prime (81122411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50455 + ... + 52037.

It is an arithmetic number, because the mean of its divisors is an integer number (3076920).

Almost surely, 281122418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81122418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98461440).

81122418 is an abundant number, since it is smaller than the sum of its proper divisors (115800462).

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

81122418 is a wasteful number, since it uses less digits than its factorization.

81122418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 81122418 is about 9006.7984322955. The cubic root of 81122418 is about 432.8927333599.

The spelling of 81122418 in words is "eighty-one million, one hundred twenty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 351 438 657 702 949 1314 1583 1898 1971 2847 3166 3942 4749 5694 8541 9498 14247 17082 20579 25623 28494 41158 42741 51246 61737 85482 115559 123474 185211 231118 346677 370422 555633 693354 1040031 1111266 1502267 2080062 3004534 3120093 4506801 6240186 9013602 13520403 27040806 40561209 81122418