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1690050880 = 26576711261
BaseRepresentation
bin110010010111100…
…0010000101000000
311100210010110222001
41210233002011000
511430123112010
6435411353344
756611124020
oct14457020500
94323113861
101690050880
11797a98271
123b1bb2854
1320c1a4c0b
14120655a80
159d58ac3a
hex64bc2140

1690050880 has 112 divisors (see below), whose sum is σ = 4668414336. Its totient is φ = 570746880.

The previous prime is 1690050853. The next prime is 1690050881. The reversal of 1690050880 is 880500961.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690050881) 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, 144450 + ... + 155710.

Almost surely, 21690050880 is an apocalyptic number.

1690050880 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 1690050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334207168).

1690050880 is an abundant number, since it is smaller than the sum of its proper divisors (2978363456).

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

1690050880 is a wasteful number, since it uses less digits than its factorization.

1690050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1690050880 is about 41110.2284109442. The cubic root of 1690050880 is about 1191.1503787497.

The spelling of 1690050880 in words is "one billion, six hundred ninety million, fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 938 1072 1120 1340 1876 2144 2240 2345 2680 3752 4288 4690 5360 7504 9380 10720 11261 15008 18760 21440 22522 30016 37520 45044 56305 75040 78827 90088 112610 150080 157654 180176 225220 315308 360352 394135 450440 630616 720704 754487 788270 900880 1261232 1508974 1576540 1801760 2522464 3017948 3153080 3603520 3772435 5044928 5281409 6035896 6306160 7544870 10562818 12071792 12612320 15089740 21125636 24143584 25224640 26407045 30179480 42251272 48287168 52814090 60358960 84502544 105628180 120717920 169005088 211256360 241435840 338010176 422512720 845025440 1690050880