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11412882 = 232131719151
BaseRepresentation
bin101011100010…
…010110010010
3210110211112100
4223202112102
510410203012
61044341230
7166002465
oct53422622
923424470
1011412882
116495738
1239a4816
1324979b0
1417312dc
1510068dc
hexae2592

11412882 has 96 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3110400.

The previous prime is 11412881. The next prime is 11412911. The reversal of 11412882 is 28821411.

It is not an unprimeable number, because it can be changed into a prime (11412881) 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 47 ways as a sum of consecutive naturals, for example, 75507 + ... + 75657.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 211412882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11412882 is an abundant number, since it is smaller than the sum of its proper divisors (18464238).

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

11412882 is a wasteful number, since it uses less digits than its factorization.

11412882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

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

The square root of 11412882 is about 3378.2957241781. The cubic root of 11412882 is about 225.1464528011.

It can be divided in two parts, 114 and 12882, that added together give a square (12996 = 1142).

The spelling of 11412882 in words is "eleven million, four hundred twelve thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 19 26 34 38 39 51 57 78 102 114 117 151 153 171 221 234 247 302 306 323 342 442 453 494 646 663 741 906 969 1326 1359 1482 1938 1963 1989 2223 2567 2718 2869 2907 3926 3978 4199 4446 5134 5738 5814 5889 7701 8398 8607 11778 12597 15402 17214 17667 23103 25194 25821 33371 35334 37297 37791 46206 48773 51642 66742 74594 75582 97546 100113 111891 146319 200226 223782 292638 300339 335673 438957 600678 634049 671346 877914 1268098 1902147 3804294 5706441 11412882