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12587220 = 2232569929
BaseRepresentation
bin110000000001…
…000011010100
3212200111102100
4300001003110
511210242340
61125442100
7211663302
oct60010324
925614370
1012587220
117117a68
124270330
1327b9379
141959272
151189830
hexc010d4

12587220 has 36 divisors (see below), whose sum is σ = 38181780. Its totient is φ = 3356544.

The previous prime is 12587219. The next prime is 12587227. The reversal of 12587220 is 2278521.

It can be written as a sum of positive squares in 2 ways, for example, as 1855044 + 10732176 = 1362^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12587227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34785 + ... + 35144.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 212587220 is an apocalyptic number.

12587220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12587220 is an abundant number, since it is smaller than the sum of its proper divisors (25594560).

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

12587220 is a wasteful number, since it uses less digits than its factorization.

12587220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69944 (or 69939 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12587220 is about 3547.8472345917. The cubic root of 12587220 is about 232.6179768924.

The spelling of 12587220 in words is "twelve million, five hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 69929 139858 209787 279716 349645 419574 629361 699290 839148 1048935 1258722 1398580 2097870 2517444 3146805 4195740 6293610 12587220