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12533420 = 22517191193
BaseRepresentation
bin101111110011…
…111010101100
3212120202121202
4233303322230
511202032140
61124345032
7211350404
oct57637254
925522552
1012533420
1170905a9
124245178
13279aa33
141943804
151178915
hexbf3eac

12533420 has 48 divisors (see below), whose sum is σ = 28159488. Its totient is φ = 4669440.

The previous prime is 12533377. The next prime is 12533441. The reversal of 12533420 is 2433521.

It is a happy number.

12533420 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12533392 and 12533401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64844 + ... + 65036.

It is an arithmetic number, because the mean of its divisors is an integer number (586656).

Almost surely, 212533420 is an apocalyptic number.

12533420 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 12533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744).

12533420 is an abundant number, since it is smaller than the sum of its proper divisors (15626068).

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

12533420 is a wasteful number, since it uses less digits than its factorization.

12533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 12533420 is about 3540.2570528141. The cubic root of 12533420 is about 232.2860868262.

Adding to 12533420 its reverse (2433521), we get a palindrome (14966941).

The spelling of 12533420 in words is "twelve million, five hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 193 340 382 386 764 772 955 965 1910 1930 3247 3281 3820 3860 6494 6562 12988 13124 16235 16405 32470 32810 36863 64940 65620 73726 147452 184315 368630 626671 737260 1253342 2506684 3133355 6266710 12533420