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12033420 = 2235724093
BaseRepresentation
bin101101111001…
…110110001100
3211122100202020
4231321312030
511040032140
61105530140
7204165600
oct55716614
924570666
1012033420
116879983
124043950
132654289
141853500
1510ca6d0
hexb79d8c

12033420 has 72 divisors (see below), whose sum is σ = 39204144. Its totient is φ = 2749824.

The previous prime is 12033419. The next prime is 12033431. The reversal of 12033420 is 2433021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12033420.

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, 894 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (544502).

Almost surely, 212033420 is an apocalyptic number.

12033420 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 12033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602072).

12033420 is an abundant number, since it is smaller than the sum of its proper divisors (27170724).

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

12033420 is a wasteful number, since it uses less digits than its factorization.

12033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12033420 is about 3468.9220227615. The cubic root of 12033420 is about 229.1551867895.

Adding to 12033420 its reverse (2433021), we get a palindrome (14466441).

The spelling of 12033420 in words is "twelve million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4093 8186 12279 16372 20465 24558 28651 40930 49116 57302 61395 81860 85953 114604 122790 143255 171906 200557 245580 286510 343812 401114 429765 573020 601671 802228 859530 1002785 1203342 1719060 2005570 2406684 3008355 4011140 6016710 12033420