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12020160 = 263519659
BaseRepresentation
bin101101110110…
…100111000000
3211121200120010
4231312213000
511034121120
61105344520
7204112125
oct55664700
924550503
1012020160
11686aa19
124038140
13264b229
14184c74c
1510c67e0
hexb769c0

12020160 has 112 divisors (see below), whose sum is σ = 40233600. Its totient is φ = 3032064.

The previous prime is 12020137. The next prime is 12020161. The reversal of 12020160 is 6102021.

12020160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020161) 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, 17911 + ... + 18569.

Almost surely, 212020160 is an apocalyptic number.

12020160 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 12020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116800).

12020160 is an abundant number, since it is smaller than the sum of its proper divisors (28213440).

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

12020160 is a wasteful number, since it uses less digits than its factorization.

12020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12020160 is about 3467.0102393849. The cubic root of 12020160 is about 229.0709847763.

Adding to 12020160 its reverse (6102021), we get a palindrome (18122181).

The spelling of 12020160 in words is "twelve million, twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 659 760 912 960 1140 1216 1318 1520 1824 1977 2280 2636 3040 3295 3648 3954 4560 5272 6080 6590 7908 9120 9885 10544 12521 13180 15816 18240 19770 21088 25042 26360 31632 37563 39540 42176 50084 52720 62605 63264 75126 79080 100168 105440 125210 126528 150252 158160 187815 200336 210880 250420 300504 316320 375630 400672 500840 601008 632640 751260 801344 1001680 1202016 1502520 2003360 2404032 3005040 4006720 6010080 12020160