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12240102 = 2372173179
BaseRepresentation
bin101110101100…
…010011100110
3212000212021010
4232230103212
511113140402
61114203050
7206016300
oct56542346
925025233
1012240102
116a00196
124123486
1326c7384
1418a8970
15111ba6c
hexbac4e6

12240102 has 96 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3144960.

The previous prime is 12240091. The next prime is 12240121. The reversal of 12240102 is 20104221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154899 + ... + 154977.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 212240102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12240102 is an abundant number, since it is smaller than the sum of its proper divisors (19278618).

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

12240102 is a wasteful number, since it uses less digits than its factorization.

12240102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12240102 is about 3498.5857142565. The cubic root of 12240102 is about 230.4597106645.

Adding to 12240102 its reverse (20104221), we get a palindrome (32344323).

The spelling of 12240102 in words is "twelve million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 49 51 62 79 93 98 102 119 147 158 186 217 237 238 294 357 434 474 527 553 651 714 833 1054 1106 1302 1343 1519 1581 1659 1666 2449 2499 2686 3038 3162 3318 3689 3871 4029 4557 4898 4998 7347 7378 7742 8058 9114 9401 11067 11613 14694 17143 18802 22134 23226 25823 28203 34286 41633 51429 51646 56406 65807 77469 83266 102858 120001 124899 131614 154938 197421 240002 249798 291431 360003 394842 582862 720006 874293 1748586 2040017 4080034 6120051 12240102