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1832090940 = 2233512132797
BaseRepresentation
bin110110100110011…
…0111110100111100
311201200101212022000
41231030313310330
512223003402230
6501444022300
763254342001
oct15514676474
94650355260
101832090940
11860193049
12431691990
132327479a4
1413546b8a8
15aac96b60
hex6d337d3c

1832090940 has 96 divisors (see below), whose sum is σ = 5706576960. Its totient is φ = 487980288.

The previous prime is 1832090929. The next prime is 1832090959. The reversal of 1832090940 is 490902381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1832090895 and 1832090904.

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, 653622 + ... + 656418.

It is an arithmetic number, because the mean of its divisors is an integer number (59443510).

Almost surely, 21832090940 is an apocalyptic number.

1832090940 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 1832090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853288480).

1832090940 is an abundant number, since it is smaller than the sum of its proper divisors (3874486020).

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

1832090940 is a wasteful number, since it uses less digits than its factorization.

1832090940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1832090940 is about 42802.9314416665. The cubic root of 1832090940 is about 1223.6268806966.

The spelling of 1832090940 in words is "one billion, eight hundred thirty-two million, ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1213 2426 2797 3639 4852 5594 6065 7278 8391 10917 11188 12130 13985 14556 16782 18195 21834 24260 25173 27970 32751 33564 36390 41955 43668 50346 54585 55940 65502 72780 75519 83910 100692 109170 125865 131004 151038 163755 167820 218340 251730 302076 327510 377595 503460 655020 755190 1510380 3392761 6785522 10178283 13571044 16963805 20356566 30534849 33927610 40713132 50891415 61069698 67855220 91604547 101782830 122139396 152674245 183209094 203565660 305348490 366418188 458022735 610696980 916045470 1832090940