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12002408 = 23111771113
BaseRepresentation
bin101101110010…
…010001101000
3211120210012122
4231302101220
511033034113
61105130412
7204006305
oct55622150
924523178
1012002408
116858650
124029a08
132643122
1418460ac
1510c1408
hexb72468

12002408 has 64 divisors (see below), whose sum is σ = 26593920. Its totient is φ = 5017600.

The previous prime is 12002407. The next prime is 12002411. The reversal of 12002408 is 80420021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002407) 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 15 ways as a sum of consecutive naturals, for example, 106160 + ... + 106272.

It is an arithmetic number, because the mean of its divisors is an integer number (415530).

Almost surely, 212002408 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 12002408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296960).

12002408 is an abundant number, since it is smaller than the sum of its proper divisors (14591512).

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

12002408 is a wasteful number, since it uses less digits than its factorization.

12002408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12002408 is about 3464.4491625654. The cubic root of 12002408 is about 228.9581612192.

Adding to 12002408 its reverse (80420021), we get a palindrome (92422429).

The spelling of 12002408 in words is "twelve million, two thousand, four hundred eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 71 88 113 136 142 187 226 284 374 452 568 748 781 904 1207 1243 1496 1562 1921 2414 2486 3124 3842 4828 4972 6248 7684 8023 9656 9944 13277 15368 16046 21131 26554 32092 42262 53108 64184 84524 88253 106216 136391 169048 176506 272782 353012 545564 706024 1091128 1500301 3000602 6001204 12002408