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12270420 = 2233531733
BaseRepresentation
bin101110110011…
…101101010100
3212002101212000
4232303231110
511120123140
61114555300
7206203551
oct56635524
925071760
1012270420
116a20a48
124138b30
132708106
1418b5a28
151125a30
hexbb3b54

12270420 has 96 divisors (see below), whose sum is σ = 39459840. Its totient is φ = 3162240.

The previous prime is 12270397. The next prime is 12270443. The reversal of 12270420 is 2407221.

It is an interprime number because it is at equal distance from previous prime (12270397) and next prime (12270443).

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 = 12270393 and 12270402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16374 + ... + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (411040).

Almost surely, 212270420 is an apocalyptic number.

12270420 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 12270420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729920).

12270420 is an abundant number, since it is smaller than the sum of its proper divisors (27189420).

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

12270420 is a wasteful number, since it uses less digits than its factorization.

12270420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12270420 is about 3502.9159281947. The cubic root of 12270420 is about 230.6498320806.

Adding to 12270420 its reverse (2407221), we get a palindrome (14677641).

The spelling of 12270420 in words is "twelve million, two hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 733 837 930 1116 1395 1466 1674 1860 2199 2790 2932 3348 3665 4185 4398 5580 6597 7330 8370 8796 10995 13194 14660 16740 19791 21990 22723 26388 32985 39582 43980 45446 65970 68169 79164 90892 98955 113615 131940 136338 197910 204507 227230 272676 340845 395820 409014 454460 613521 681690 818028 1022535 1227042 1363380 2045070 2454084 3067605 4090140 6135210 12270420