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1680700 = 225275
BaseRepresentation
bin110011010010100111100
310011101111011
412122110330
5412240300
6100005004
720200000
oct6322474
93141434
101680700
11a4880a
12690764
1346acc8
1431a700
15232eba
hex19a53c

1680700 has 54 divisors (see below), whose sum is σ = 4254936. Its totient is φ = 576240.

The previous prime is 1680697. The next prime is 1680703. The reversal of 1680700 is 70861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1680697) and next prime (1680703).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680703) 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 17 ways as a sum of consecutive naturals, for example, 240097 + ... + 240103.

21680700 is an apocalyptic number.

1680700 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 1680700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127468).

1680700 is an abundant number, since it is smaller than the sum of its proper divisors (2574236).

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

1680700 is an frugal number, since it uses more digits than its factorization.

1680700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1680700 is about 1296.4181424216. The cubic root of 1680700 is about 118.8949476569.

The spelling of 1680700 in words is "one million, six hundred eighty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2401 2450 3430 4802 4900 6860 8575 9604 12005 16807 17150 24010 33614 34300 48020 60025 67228 84035 120050 168070 240100 336140 420175 840350 1680700