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1690203580 = 2251317438893
BaseRepresentation
bin110010010111110…
…0111010110111100
311100210102020102121
41210233213112330
511430143003310
6435414532324
756612331142
oct14457472674
94323366377
101690203580
11798091a6a
123b20670a4
1320c229580
14120695592
159d5bb0da
hex64be75bc

1690203580 has 96 divisors (see below), whose sum is σ = 4141900224. Its totient is φ = 573640704.

The previous prime is 1690203569. The next prime is 1690203649. The reversal of 1690203580 is 853020961.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185614 + ... + 194506.

It is an arithmetic number, because the mean of its divisors is an integer number (43144794).

Almost surely, 21690203580 is an apocalyptic number.

1690203580 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 1690203580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070950112).

1690203580 is an abundant number, since it is smaller than the sum of its proper divisors (2451696644).

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

1690203580 is a wasteful number, since it uses less digits than its factorization.

1690203580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1690203580 is about 41112.0855710337. The cubic root of 1690203580 is about 1191.1862520651.

The spelling of 1690203580 in words is "one billion, six hundred ninety million, two hundred three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 43 52 65 68 85 86 130 170 172 215 221 260 340 430 442 559 731 860 884 1105 1118 1462 2210 2236 2795 2924 3655 4420 5590 7310 8893 9503 11180 14620 17786 19006 35572 38012 44465 47515 88930 95030 115609 151181 177860 190060 231218 302362 382399 462436 578045 604724 755905 764798 1156090 1511810 1529596 1911995 1965353 2312180 3023620 3823990 3930706 4971187 6500783 7647980 7861412 9826765 9942374 13001566 19653530 19884748 24855935 26003132 32503915 39307060 49711870 65007830 84510179 99423740 130015660 169020358 338040716 422550895 845101790 1690203580