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1683920 = 24573197
BaseRepresentation
bin110011011000111010000
310011112220102
412123013100
5412341140
6100031532
720212250
oct6330720
93145812
101683920
11a50177
126925a8
1346c604
1431b960
15233e15
hex19b1d0

1683920 has 80 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 552960.

The previous prime is 1683887. The next prime is 1683949. The reversal of 1683920 is 293861.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17312 + ... + 17408.

21683920 is an apocalyptic number.

1683920 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 1683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

1683920 is an abundant number, since it is smaller than the sum of its proper divisors (2982448).

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

1683920 is a wasteful number, since it uses less digits than its factorization.

1683920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1683920 is about 1297.6594314380. The cubic root of 1683920 is about 118.9708282424.

The spelling of 1683920 in words is "one million, six hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 97 112 124 140 155 194 217 248 280 310 388 434 485 496 560 620 679 776 868 970 1085 1240 1358 1552 1736 1940 2170 2480 2716 3007 3395 3472 3880 4340 5432 6014 6790 7760 8680 10864 12028 13580 15035 17360 21049 24056 27160 30070 42098 48112 54320 60140 84196 105245 120280 168392 210490 240560 336784 420980 841960 1683920