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1683220 = 2257111093
BaseRepresentation
bin110011010111100010100
310011111221111
412122330110
5412330340
6100024404
720210230
oct6327424
93144844
101683220
11a4a6a0
12692104
1346c1b6
1431b5c0
15233aea
hex19af14

1683220 has 48 divisors (see below), whose sum is σ = 4411008. Its totient is φ = 524160.

The previous prime is 1683169. The next prime is 1683223. The reversal of 1683220 is 223861.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1683191 and 1683200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994 + ... + 2086.

It is an arithmetic number, because the mean of its divisors is an integer number (91896).

21683220 is an apocalyptic number.

1683220 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 1683220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205504).

1683220 is an abundant number, since it is smaller than the sum of its proper divisors (2727788).

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

1683220 is a wasteful number, since it uses less digits than its factorization.

1683220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1683220 is about 1297.3896870255. The cubic root of 1683220 is about 118.9543406970.

The spelling of 1683220 in words is "one million, six hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1093 1540 2186 4372 5465 7651 10930 12023 15302 21860 24046 30604 38255 48092 60115 76510 84161 120230 153020 168322 240460 336644 420805 841610 1683220