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13233420 = 22325371987
BaseRepresentation
bin110010011110…
…110100001100
3220220022211200
4302132310030
511341432140
61151345500
7220324254
oct62366414
926808750
1013233420
117519512
124522290
132984535
141a86964
151266030
hexc9ed0c

13233420 has 72 divisors (see below), whose sum is σ = 41247024. Its totient is φ = 3431808.

The previous prime is 13233413. The next prime is 13233433. The reversal of 13233420 is 2433231.

13233420 is a `hidden beast` number, since 1 + 323 + 342 + 0 = 666.

13233420 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13233393 and 13233402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5667 + ... + 7653.

Almost surely, 213233420 is an apocalyptic number.

13233420 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 13233420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623512).

13233420 is an abundant number, since it is smaller than the sum of its proper divisors (28013604).

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

13233420 is a wasteful number, since it uses less digits than its factorization.

13233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13233420 is about 3637.7767935925. The cubic root of 13233420 is about 236.5324328609.

Adding to 13233420 its reverse (2433231), we get a palindrome (15666651).

The spelling of 13233420 in words is "thirteen million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1987 2220 3330 3974 5961 6660 7948 9935 11922 17883 19870 23844 29805 35766 39740 59610 71532 73519 89415 119220 147038 178830 220557 294076 357660 367595 441114 661671 735190 882228 1102785 1323342 1470380 2205570 2646684 3308355 4411140 6616710 13233420