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12408396 = 223711131033
BaseRepresentation
bin101111010101…
…011001001100
3212100102010020
4233111121030
511134032041
61121542140
7210320040
oct57253114
925312106
1012408396
117005680
1241a4950
132755b60
141910020
151151866
hexbd564c

12408396 has 96 divisors (see below), whose sum is σ = 38911488. Its totient is φ = 2972160.

The previous prime is 12408379. The next prime is 12408397. The reversal of 12408396 is 69380421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12408397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11496 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (405328).

Almost surely, 212408396 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 12408396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455744).

12408396 is an abundant number, since it is smaller than the sum of its proper divisors (26503092).

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

12408396 is a wasteful number, since it uses less digits than its factorization.

12408396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12408396 is about 3522.5553224896. Note that the first 3 decimals coincide. The cubic root of 12408396 is about 231.5111336926.

The spelling of 12408396 in words is "twelve million, four hundred eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1033 1092 1716 2002 2066 3003 3099 4004 4132 6006 6198 7231 11363 12012 12396 13429 14462 21693 22726 26858 28924 34089 40287 43386 45452 53716 68178 79541 80574 86772 94003 136356 147719 159082 161148 188006 238623 282009 295438 318164 376012 443157 477246 564018 590876 886314 954492 1034033 1128036 1772628 2068066 3102099 4136132 6204198 12408396