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1690608700 = 22521110115217
BaseRepresentation
bin110010011000100…
…1010010000111100
311100211011211011001
41210301022100330
511430243434300
6435431340044
756615636224
oct14461122074
94324154131
101690608700
11798339380
123b2221624
1320c33baa1
1412075d084
159d64b16a
hex64c4a43c

1690608700 has 72 divisors (see below), whose sum is σ = 4042022544. Its totient is φ = 608640000.

The previous prime is 1690608677. The next prime is 1690608709. The reversal of 1690608700 is 78060961.

It is a self number, because there is not a number n which added to its sum of digits gives 1690608700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690608709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103492 + ... + 118708.

It is an arithmetic number, because the mean of its divisors is an integer number (56139202).

Almost surely, 21690608700 is an apocalyptic number.

1690608700 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 1690608700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021011272).

1690608700 is an abundant number, since it is smaller than the sum of its proper divisors (2351413844).

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

1690608700 is a wasteful number, since it uses less digits than its factorization.

1690608700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1690608700 is about 41117.0122941830. The cubic root of 1690608700 is about 1191.2814151231.

The spelling of 1690608700 in words is "one billion, six hundred ninety million, six hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 15217 22220 27775 30434 55550 60868 76085 111100 152170 167387 304340 334774 380425 669548 760850 836935 1521700 1536917 1673870 3073834 3347740 4184675 6147668 7684585 8369350 15369170 16738700 16906087 30738340 33812174 38422925 67624348 76845850 84530435 153691700 169060870 338121740 422652175 845304350 1690608700