[go: up one dir, main page]

Search a number
-
+
1422085840 = 245721991823
BaseRepresentation
bin101010011000011…
…0100111011010000
310200002220110000221
41110300310323100
510403023221330
6353040122424
750145346600
oct12460647320
93602813027
101422085840
1166a80415a
12338306414
13198812416
14d6c20c00
1584ca8b7a
hex54c34ed0

1422085840 has 120 divisors (see below), whose sum is σ = 3867609600. Its totient is φ = 484856064.

The previous prime is 1422085823. The next prime is 1422085843. The reversal of 1422085840 is 485802241.

It is a junction number, because it is equal to n+sod(n) for n = 1422085796 and 1422085805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422085843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779169 + ... + 780991.

It is an arithmetic number, because the mean of its divisors is an integer number (32230080).

Almost surely, 21422085840 is an apocalyptic number.

1422085840 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 1422085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933804800).

1422085840 is an abundant number, since it is smaller than the sum of its proper divisors (2445523760).

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

1422085840 is a wasteful number, since it uses less digits than its factorization.

1422085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 1422085840 is about 37710.5534300413. The cubic root of 1422085840 is about 1124.5409392883.

The spelling of 1422085840 in words is "one billion, four hundred twenty-two million, eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 199 245 280 392 398 490 560 784 796 980 995 1393 1592 1823 1960 1990 2786 3184 3646 3920 3980 5572 6965 7292 7960 9115 9751 11144 12761 13930 14584 15920 18230 19502 22288 25522 27860 29168 36460 39004 48755 51044 55720 63805 72920 78008 89327 97510 102088 111440 127610 145840 156016 178654 195020 204176 255220 357308 362777 390040 446635 510440 714616 725554 780080 893270 1020880 1429232 1451108 1786540 1813885 2539439 2902216 3573080 3627770 5078878 5804432 7146160 7255540 10157756 12697195 14511080 17776073 20315512 25394390 29022160 35552146 40631024 50788780 71104292 88880365 101577560 142208584 177760730 203155120 284417168 355521460 711042920 1422085840