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12401024 = 271741139
BaseRepresentation
bin101111010011…
…100110000000
3212100001000012
4233103212000
511133313044
61121444052
7210256406
oct57234600
925301005
1012401024
117000089
1241a0628
1327526ac
14190b476
15114e59e
hexbd3980

12401024 has 64 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 5652480.

The previous prime is 12400987. The next prime is 12401027. The reversal of 12401024 is 42010421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401027) 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 7 ways as a sum of consecutive naturals, for example, 89147 + ... + 89285.

Almost surely, 212401024 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 12401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

12401024 is an abundant number, since it is smaller than the sum of its proper divisors (14588176).

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

12401024 is a wasteful number, since it uses less digits than its factorization.

12401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12401024 is about 3521.5087675597. The cubic root of 12401024 is about 231.4652766191.

Adding to 12401024 its reverse (42010421), we get a palindrome (54411445).

The spelling of 12401024 in words is "twelve million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 139 164 272 278 328 544 556 656 697 1088 1112 1312 1394 2176 2224 2363 2624 2788 4448 4726 5248 5576 5699 8896 9452 11152 11398 17792 18904 22304 22796 37808 44608 45592 75616 89216 91184 96883 151232 182368 193766 302464 364736 387532 729472 775064 1550128 3100256 6200512 12401024