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684122112 = 213341031
BaseRepresentation
bin101000110001101…
…110000000000000
31202200022000010000
4220301232000000
52400113401422
6151515040000
722644641052
oct5061560000
91680260100
10684122112
11321195083
12171140000
13ab9702ab
1466c038d2
15400d7cac
hex28c6e000

684122112 has 140 divisors (see below), whose sum is σ = 2045777976. Its totient is φ = 227819520.

The previous prime is 684122077. The next prime is 684122123. The reversal of 684122112 is 211221486.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663037 + ... + 664067.

Almost surely, 2684122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022888988).

684122112 is an abundant number, since it is smaller than the sum of its proper divisors (1361655864).

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

684122112 is an equidigital number, since it uses as much as digits as its factorization.

684122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1036 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 684122112 is about 26155.7280915672. The cubic root of 684122112 is about 881.1392407653.

Adding to 684122112 its reverse (211221486), we get a palindrome (895343598).

The spelling of 684122112 in words is "six hundred eighty-four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1031 1152 1296 1536 1728 2048 2062 2304 2592 3072 3093 3456 4096 4124 4608 5184 6144 6186 6912 8192 8248 9216 9279 10368 12288 12372 13824 16496 18432 18558 20736 24576 24744 27648 27837 32992 36864 37116 41472 49488 55296 55674 65984 73728 74232 82944 83511 98976 110592 111348 131968 148464 165888 167022 197952 221184 222696 263936 296928 331776 334044 395904 445392 527872 593856 663552 668088 791808 890784 1055744 1187712 1336176 1583616 1781568 2111488 2375424 2672352 3167232 3563136 4222976 4750848 5344704 6334464 7126272 8445952 9501696 10689408 12668928 14252544 19003392 21378816 25337856 28505088 38006784 42757632 57010176 76013568 85515264 114020352 171030528 228040704 342061056 684122112