Search a number
-
+
12285920 = 255312477
BaseRepresentation
bin101110110111…
…011111100000
3212010012010002
4232313133200
511121122140
61115155132
7206300003
oct56673740
925105102
1012285920
116a31659
124145aa8
13271219a
1418bb53a
15112a415
hexbb77e0

12285920 has 48 divisors (see below), whose sum is σ = 29973888. Its totient is φ = 4753920.

The previous prime is 12285919. The next prime is 12285929. The reversal of 12285920 is 2958221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3722 + ... + 6198.

It is an arithmetic number, because the mean of its divisors is an integer number (624456).

Almost surely, 212285920 is an apocalyptic number.

12285920 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 12285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986944).

12285920 is an abundant number, since it is smaller than the sum of its proper divisors (17687968).

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

12285920 is a wasteful number, since it uses less digits than its factorization.

12285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12285920 is about 3505.1276724251. The cubic root of 12285920 is about 230.7469102058.

The spelling of 12285920 in words is "twelve million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2477 2480 4954 4960 9908 12385 19816 24770 39632 49540 76787 79264 99080 153574 198160 307148 383935 396320 614296 767870 1228592 1535740 2457184 3071480 6142960 12285920