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12420030 = 235731771
BaseRepresentation
bin101111011000…
…001110111110
3212101000002010
4233120032332
511134420110
61122112050
7210366000
oct57301676
925330063
1012420030
117013397
1241ab626
13275b23c
141914370
151155020
hexbd83be

12420030 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2634240.

The previous prime is 12420029. The next prime is 12420041. The reversal of 12420030 is 3002421.

It is a junction number, because it is equal to n+sod(n) for n = 12419988 and 12420015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174895 + ... + 174965.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 212420030 is an apocalyptic number.

12420030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12420030 is an abundant number, since it is smaller than the sum of its proper divisors (24904770).

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

12420030 is a wasteful number, since it uses less digits than its factorization.

12420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12420030 is about 3524.2062936213. The cubic root of 12420030 is about 231.5834653407.

Adding to 12420030 its reverse (3002421), we get a palindrome (15422451).

The spelling of 12420030 in words is "twelve million, four hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 71 85 98 102 105 119 142 147 170 210 213 238 245 255 294 343 355 357 426 490 497 510 595 686 710 714 735 833 994 1029 1065 1190 1207 1470 1491 1666 1715 1785 2058 2130 2414 2485 2499 2982 3430 3479 3570 3621 4165 4970 4998 5145 5831 6035 6958 7242 7455 8330 8449 10290 10437 11662 12070 12495 14910 16898 17395 17493 18105 20874 24353 24990 25347 29155 34790 34986 36210 42245 48706 50694 52185 58310 59143 73059 84490 87465 104370 118286 121765 126735 146118 174930 177429 243530 253470 295715 354858 365295 414001 591430 730590 828002 887145 1242003 1774290 2070005 2484006 4140010 6210015 12420030