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12505320 = 2333511579
BaseRepresentation
bin101111101101…
…000011101000
3212112100002000
4233231003220
511200132240
61124011000
7211202442
oct57550350
925470060
1012505320
117071483
124230a60
13278acc9
141937492
151170430
hexbed0e8

12505320 has 64 divisors (see below), whose sum is σ = 41688000. Its totient is φ = 3334464.

The previous prime is 12505313. The next prime is 12505327. The reversal of 12505320 is 2350521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12505313) and next prime (12505327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12505293 and 12505302.

It is not an unprimeable number, because it can be changed into a prime (12505327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (651375).

Almost surely, 212505320 is an apocalyptic number.

12505320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12505320 is an abundant number, since it is smaller than the sum of its proper divisors (29182680).

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

12505320 is a wasteful number, since it uses less digits than its factorization.

12505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 12505320 is about 3536.2861875137. The cubic root of 12505320 is about 232.1123613477.

Adding to 12505320 its reverse (2350521), we get a palindrome (14855841).

The spelling of 12505320 in words is "twelve million, five hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11579 23158 34737 46316 57895 69474 92632 104211 115790 138948 173685 208422 231580 277896 312633 347370 416844 463160 521055 625266 694740 833688 1042110 1250532 1389480 1563165 2084220 2501064 3126330 4168440 6252660 12505320