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12542960 = 245831889
BaseRepresentation
bin101111110110…
…001111110000
3212121020201002
4233312033300
511202333320
61124501132
7211420253
oct57661760
925536632
1012542960
117097791
12424a7a8
1327a2191
14194709a
15117b675
hexbf63f0

12542960 has 40 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4954112.

The previous prime is 12542951. The next prime is 12542989. The reversal of 12542960 is 6924521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5696 + ... + 7584.

It is an arithmetic number, because the mean of its divisors is an integer number (738234).

Almost surely, 212542960 is an apocalyptic number.

12542960 is a gapful number since it is divisible by the number (10) 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 12542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12542960 is an abundant number, since it is smaller than the sum of its proper divisors (16986400).

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

12542960 is a wasteful number, since it uses less digits than its factorization.

12542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 12542960 is about 3541.6041563111. The cubic root of 12542960 is about 232.3450078883.

The spelling of 12542960 in words is "twelve million, five hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 1889 3320 3778 6640 7556 9445 15112 18890 30224 37780 75560 151120 156787 313574 627148 783935 1254296 1567870 2508592 3135740 6271480 12542960