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12380560 = 245435961
BaseRepresentation
bin101111001110…
…100110010000
3212021222221021
4233032212100
511132134220
61121205224
7210142633
oct57164620
925258837
1012380560
116a96775
124190814
13274629a
141903c1a
1511484aa
hexbce990

12380560 has 80 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 4677120.

The previous prime is 12380531. The next prime is 12380561. The reversal of 12380560 is 6508321.

It is a happy number.

12380560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12380561) 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, 202930 + ... + 202990.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 212380560 is an apocalyptic number.

12380560 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 12380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

12380560 is an abundant number, since it is smaller than the sum of its proper divisors (18063920).

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

12380560 is a wasteful number, since it uses less digits than its factorization.

12380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12380560 is about 3518.6019951111. The cubic root of 12380560 is about 231.3378862441.

Adding to 12380560 its reverse (6508321), we get a palindrome (18888881).

The spelling of 12380560 in words is "twelve million, three hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 59 61 80 86 118 122 172 215 236 244 295 305 344 430 472 488 590 610 688 860 944 976 1180 1220 1720 2360 2440 2537 2623 3440 3599 4720 4880 5074 5246 7198 10148 10492 12685 13115 14396 17995 20296 20984 25370 26230 28792 35990 40592 41968 50740 52460 57584 71980 101480 104920 143960 154757 202960 209840 287920 309514 619028 773785 1238056 1547570 2476112 3095140 6190280 12380560