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12818088 = 2334131151
BaseRepresentation
bin110000111001…
…011010101000
3220010020010000
4300321122220
511240134323
61134423000
7213644343
oct60713250
926106100
1012818088
117265468
124361a60
13286a48a
1419b945a
1511d2e43
hexc396a8

12818088 has 80 divisors (see below), whose sum is σ = 36416160. Its totient is φ = 4212000.

The previous prime is 12818083. The next prime is 12818093. The reversal of 12818088 is 88081821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12818083) and next prime (12818093).

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

It is not an unprimeable number, because it can be changed into a prime (12818081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84813 + ... + 84963.

It is an arithmetic number, because the mean of its divisors is an integer number (455202).

Almost surely, 212818088 is an apocalyptic number.

12818088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12818088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208080).

12818088 is an abundant number, since it is smaller than the sum of its proper divisors (23598072).

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

12818088 is a wasteful number, since it uses less digits than its factorization.

12818088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 12818088 is about 3580.2357464279. The cubic root of 12818088 is about 234.0315539303.

The spelling of 12818088 in words is "twelve million, eight hundred eighteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 151 162 216 262 302 324 393 453 524 604 648 786 906 1048 1179 1208 1359 1572 1812 2358 2718 3144 3537 3624 4077 4716 5436 7074 8154 9432 10611 10872 12231 14148 16308 19781 21222 24462 28296 32616 39562 42444 48924 59343 79124 84888 97848 118686 158248 178029 237372 356058 474744 534087 712116 1068174 1424232 1602261 2136348 3204522 4272696 6409044 12818088