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12030420 = 22351961173
BaseRepresentation
bin101101111001…
…000111010100
3211122012122010
4231321013110
511034433140
61105504220
7204154053
oct55710724
924565563
1012030420
1168776a6
124042070
132652abc
14185239a
1510c9880
hexb791d4

12030420 has 96 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 2972160.

The previous prime is 12030419. The next prime is 12030433. The reversal of 12030420 is 2403021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12030396 and 12030405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69454 + ... + 69626.

It is an arithmetic number, because the mean of its divisors is an integer number (377580).

Almost surely, 212030420 is an apocalyptic number.

12030420 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 12030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

12030420 is an abundant number, since it is smaller than the sum of its proper divisors (24217260).

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

12030420 is a wasteful number, since it uses less digits than its factorization.

12030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

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

The square root of 12030420 is about 3468.4895848193. The cubic root of 12030420 is about 229.1361419766.

Adding to 12030420 its reverse (2403021), we get a palindrome (14433441).

The spelling of 12030420 in words is "twelve million, thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 173 183 190 228 244 285 305 346 366 380 519 570 610 692 732 865 915 1038 1140 1159 1220 1730 1830 2076 2318 2595 3287 3460 3477 3660 4636 5190 5795 6574 6954 9861 10380 10553 11590 13148 13908 16435 17385 19722 21106 23180 31659 32870 34770 39444 42212 49305 52765 63318 65740 69540 98610 105530 126636 158295 197220 200507 211060 316590 401014 601521 633180 802028 1002535 1203042 2005070 2406084 3007605 4010140 6015210 12030420