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12419064 = 2332741601
BaseRepresentation
bin101111010111…
…111111111000
3212100221202100
4233113333320
511134402224
61122103400
7210363120
oct57277770
925327670
1012419064
117012699
1241aab60
13275a978
141913c80
151154ac9
hexbd7ff8

12419064 has 96 divisors (see below), whose sum is σ = 39443040. Its totient is φ = 3456000.

The previous prime is 12419063. The next prime is 12419081. The reversal of 12419064 is 46091421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12419063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20364 + ... + 20964.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 212419064 is an apocalyptic number.

12419064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12419064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721520).

12419064 is an abundant number, since it is smaller than the sum of its proper divisors (27023976).

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

12419064 is a wasteful number, since it uses less digits than its factorization.

12419064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12419064 is about 3524.0692388204. The cubic root of 12419064 is about 231.5774611837.

The spelling of 12419064 in words is "twelve million, four hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 601 738 861 984 1148 1202 1476 1722 1803 2296 2404 2583 2952 3444 3606 4207 4808 5166 5409 6888 7212 8414 10332 10818 12621 14424 16828 20664 21636 24641 25242 33656 37863 43272 49282 50484 73923 75726 98564 100968 147846 151452 172487 197128 221769 295692 302904 344974 443538 517461 591384 689948 887076 1034922 1379896 1552383 1774152 2069844 3104766 4139688 6209532 12419064