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1683240 = 233513283
BaseRepresentation
bin110011010111100101000
310011111222020
412122330220
5412330430
6100024440
720210256
oct6327450
93144866
101683240
11a4a709
12692120
1346c200
1431b5d6
15233b10
hex19af28

1683240 has 96 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 409344.

The previous prime is 1683239. The next prime is 1683251. The reversal of 1683240 is 423861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1683240.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20239 + ... + 20321.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

21683240 is an apocalyptic number.

1683240 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 1683240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

1683240 is an abundant number, since it is smaller than the sum of its proper divisors (3850680).

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

1683240 is a wasteful number, since it uses less digits than its factorization.

1683240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1683240 is about 1297.3973947870. The cubic root of 1683240 is about 118.9548118332.

The spelling of 1683240 in words is "one million, six hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 169 195 249 260 312 332 338 390 415 498 507 520 664 676 780 830 845 996 1014 1079 1245 1352 1560 1660 1690 1992 2028 2158 2490 2535 3237 3320 3380 4056 4316 4980 5070 5395 6474 6760 8632 9960 10140 10790 12948 14027 16185 20280 21580 25896 28054 32370 42081 43160 56108 64740 70135 84162 112216 129480 140270 168324 210405 280540 336648 420810 561080 841620 1683240