Search a number
-
+
12542736 = 2431719809
BaseRepresentation
bin101111110110…
…001100010000
3212121020101210
4233312030100
511202331421
61124500120
7211416513
oct57661420
925536353
1012542736
1170975a8
12424a640
1327a204b
141946d7a
15117b576
hexbf6310

12542736 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 3723264.

The previous prime is 12542731. The next prime is 12542737. The reversal of 12542736 is 63724521.

12542736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12542731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15100 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 212542736 is an apocalyptic number.

12542736 is a gapful number since it is divisible by the number (16) 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 12542736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

12542736 is an abundant number, since it is smaller than the sum of its proper divisors (23615664).

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

12542736 is a wasteful number, since it uses less digits than its factorization.

12542736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 12542736 is about 3541.5725320823. The cubic root of 12542736 is about 232.3436247594.

The spelling of 12542736 in words is "twelve million, five hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 809 816 912 969 1292 1618 1938 2427 2584 3236 3876 4854 5168 6472 7752 9708 12944 13753 15371 15504 19416 27506 30742 38832 41259 46113 55012 61484 82518 92226 110024 122968 165036 184452 220048 245936 261307 330072 368904 522614 660144 737808 783921 1045228 1567842 2090456 3135684 4180912 6271368 12542736