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12030920 = 2351137739
BaseRepresentation
bin101101111001…
…001111001000
3211122020022122
4231321033020
511034442140
61105510412
7204155366
oct55711710
924566278
1012030920
116878010
124042408
1326530b5
141852636
1510c9ab5
hexb793c8

12030920 has 64 divisors (see below), whose sum is σ = 30369600. Its totient is φ = 4250880.

The previous prime is 12030913. The next prime is 12030923. The reversal of 12030920 is 2903021.

It is not an unprimeable number, because it can be changed into a prime (12030923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15911 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (474525).

Almost surely, 212030920 is an apocalyptic number.

12030920 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 12030920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184800).

12030920 is an abundant number, since it is smaller than the sum of its proper divisors (18338680).

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

12030920 is a wasteful number, since it uses less digits than its factorization.

12030920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 12030920 is about 3468.5616615537. The cubic root of 12030920 is about 229.1393163319.

Adding to 12030920 its reverse (2903021), we get a palindrome (14933941).

The spelling of 12030920 in words is "twelve million, thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 739 740 814 1478 1480 1628 2035 2956 3256 3695 4070 5912 7390 8129 8140 14780 16258 16280 27343 29560 32516 40645 54686 65032 81290 109372 136715 162580 218744 273430 300773 325160 546860 601546 1093720 1203092 1503865 2406184 3007730 6015460 12030920