Search a number
-
+
20431992840 = 2335744354907
BaseRepresentation
bin10011000001110101…
…110111100000001000
31221201221101210000120
4103001311313200020
5313321042232330
613215240303240
71322216034150
oct230165674010
957657353016
1020431992840
1187353666a6
123b62771b20
131c0803b2bc
14dbb817760
157e8b4dc10
hex4c1d77808

20431992840 has 128 divisors (see below), whose sum is σ = 70211957760. Its totient is φ = 4659542784.

The previous prime is 20431992829. The next prime is 20431992853. The reversal of 20431992840 is 4829913402.

It is a super-2 number, since 2×204319928402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20431992792 and 20431992801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344667 + ... + 399573.

It is an arithmetic number, because the mean of its divisors is an integer number (548530920).

Almost surely, 220431992840 is an apocalyptic number.

20431992840 is a gapful number since it is divisible by the number (20) 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 20431992840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35105978880).

20431992840 is an abundant number, since it is smaller than the sum of its proper divisors (49779964920).

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

20431992840 is a wasteful number, since it uses less digits than its factorization.

20431992840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55371 (or 55367 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 20431992840 in words is "twenty billion, four hundred thirty-one million, nine hundred ninety-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 443 840 886 1329 1772 2215 2658 3101 3544 4430 5316 6202 6645 8860 9303 10632 12404 13290 15505 17720 18606 24808 26580 31010 37212 46515 53160 54907 62020 74424 93030 109814 124040 164721 186060 219628 274535 329442 372120 384349 439256 549070 658884 768698 823605 1098140 1153047 1317768 1537396 1647210 1921745 2196280 2306094 3074792 3294420 3843490 4612188 5765235 6588840 7686980 9224376 11530470 15373960 23060940 24323801 46121880 48647602 72971403 97295204 121619005 145942806 170266607 194590408 243238010 291885612 340533214 364857015 486476020 510799821 583771224 681066428 729714030 851333035 972952040 1021599642 1362132856 1459428060 1702666070 2043199284 2553999105 2918856120 3405332140 4086398568 5107998210 6810664280 10215996420 20431992840