Search a number
-
+
12542985 = 3357131021
BaseRepresentation
bin101111110110…
…010000001001
3212121020202000
4233312100021
511202333420
61124501213
7211420320
oct57662011
925536660
1012542985
117097804
12424a809
1327a21b0
1419470b7
15117b690
hexbf6409

12542985 has 64 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 5287680.

The previous prime is 12542951. The next prime is 12542989. The reversal of 12542985 is 58924521.

12542985 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12542985 - 26 = 12542921 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12542989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11775 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 212542985 is an apocalyptic number.

12542985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12542985 is an abundant number, since it is smaller than the sum of its proper divisors (14928375).

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

12542985 is a wasteful number, since it uses less digits than its factorization.

12542985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 12542985 is about 3541.6076857834. The cubic root of 12542985 is about 232.3451622544.

The spelling of 12542985 in words is "twelve million, five hundred forty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1021 1365 1755 2457 3063 4095 5105 7147 9189 12285 13273 15315 21441 27567 35735 39819 45945 64323 66365 92911 107205 119457 137835 192969 199095 278733 321615 358371 464555 597285 836199 964845 1393665 1791855 2508597 4180995 12542985