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1868813020 = 2251923375779
BaseRepresentation
bin110111101100011…
…1101001011011100
311211020111112112001
41233120331023130
512311404004040
6505235052044
764211435314
oct15730751334
94736445461
101868813020
11879994978
12441a41024
1323a234529
1413a2aa444
15ae0ec59a
hex6f63d2dc

1868813020 has 96 divisors (see below), whose sum is σ = 4427942400. Its totient is φ = 658969344.

The previous prime is 1868812993. The next prime is 1868813029. The reversal of 1868813020 is 203188681.

It is a super-3 number, since 3×18688130203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868813029) by changing a digit.

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, 320491 + ... + 326269.

It is an arithmetic number, because the mean of its divisors is an integer number (46124400).

Almost surely, 21868813020 is an apocalyptic number.

1868813020 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 1868813020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213971200).

1868813020 is an abundant number, since it is smaller than the sum of its proper divisors (2559129380).

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

1868813020 is a wasteful number, since it uses less digits than its factorization.

1868813020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1868813020 is about 43229.7700664716. The cubic root of 1868813020 is about 1231.7482399698.

The spelling of 1868813020 in words is "one billion, eight hundred sixty-eight million, eight hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 37 38 46 74 76 92 95 115 148 185 190 230 370 380 437 460 703 740 851 874 1406 1702 1748 2185 2812 3404 3515 4255 4370 5779 7030 8510 8740 11558 14060 16169 17020 23116 28895 32338 57790 64676 80845 109801 115580 132917 161690 213823 219602 265834 323380 427646 439204 531668 549005 664585 855292 1069115 1098010 1329170 2138230 2196020 2525423 2658340 4062637 4276460 4917929 5050846 8125274 9835858 10101692 12627115 16250548 19671716 20313185 24589645 25254230 40626370 49179290 50508460 81252740 93440651 98358580 186881302 373762604 467203255 934406510 1868813020