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12430620 = 22325531303
BaseRepresentation
bin101111011010…
…110100011100
3212101112121100
4233122310130
511140234440
61122233100
7210441606
oct57326434
925345540
1012430620
117020344
1241b5790
132762cc7
141918176
151158230
hexbdad1c

12430620 has 72 divisors (see below), whose sum is σ = 38447136. Its totient is φ = 3249792.

The previous prime is 12430619. The next prime is 12430669. The reversal of 12430620 is 2603421.

It is a happy number.

12430620 is a `hidden beast` number, since 1 + 2 + 43 + 0 + 620 = 666.

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 = 12430593 and 12430602.

It is a congruent number.

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, 8889 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (533988).

Almost surely, 212430620 is an apocalyptic number.

12430620 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 12430620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223568).

12430620 is an abundant number, since it is smaller than the sum of its proper divisors (26016516).

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

12430620 is a wasteful number, since it uses less digits than its factorization.

12430620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12430620 is about 3525.7084394487. The cubic root of 12430620 is about 231.6492669045.

The spelling of 12430620 in words is "twelve million, four hundred thirty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1303 1590 1908 2385 2606 3180 3909 4770 5212 6515 7818 9540 11727 13030 15636 19545 23454 26060 39090 46908 58635 69059 78180 117270 138118 207177 234540 276236 345295 414354 621531 690590 828708 1035885 1243062 1381180 2071770 2486124 3107655 4143540 6215310 12430620