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12153420 = 22325251269
BaseRepresentation
bin101110010111…
…001001001100
3211212110100200
4232113021030
511102402140
61112253500
7205205466
oct56271114
924773320
1012153420
116951054
1240a1290
132696a96
141885136
151101030
hexb9724c

12153420 has 72 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 3216000.

The previous prime is 12153397. The next prime is 12153451. The reversal of 12153420 is 2435121.

12153420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12153393 and 12153402.

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, 45046 + ... + 45314.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 212153420 is an apocalyptic number.

12153420 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 12153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

12153420 is an abundant number, since it is smaller than the sum of its proper divisors (24996420).

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

12153420 is a wasteful number, since it uses less digits than its factorization.

12153420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12153420 is about 3486.1755549599. The cubic root of 12153420 is about 229.9143978859.

Adding to 12153420 its reverse (2435121), we get a palindrome (14588541).

The spelling of 12153420 in words is "twelve million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 269 502 538 753 807 1004 1076 1255 1345 1506 1614 2259 2421 2510 2690 3012 3228 3765 4035 4518 4842 5020 5380 7530 8070 9036 9684 11295 12105 15060 16140 22590 24210 45180 48420 67519 135038 202557 270076 337595 405114 607671 675190 810228 1012785 1215342 1350380 2025570 2430684 3038355 4051140 6076710 12153420