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1890910112 = 257131275113
BaseRepresentation
bin111000010110100…
…1111111110100000
311212210002012000212
41300231033332200
512333033110422
6511344433252
764600320320
oct16055177640
94783065025
101890910112
11890407833
12449318828
132419a0330
1413d1bd280
15b10149e2
hex70b4ffa0

1890910112 has 96 divisors (see below), whose sum is σ = 4618801152. Its totient is φ = 742017024.

The previous prime is 1890910111. The next prime is 1890910121. The reversal of 1890910112 is 2110190981.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1890910111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367268 + ... + 372380.

It is an arithmetic number, because the mean of its divisors is an integer number (48112512).

Almost surely, 21890910112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890910112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309400576).

1890910112 is an abundant number, since it is smaller than the sum of its proper divisors (2727891040).

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

1890910112 is a wasteful number, since it uses less digits than its factorization.

1890910112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The square root of 1890910112 is about 43484.5962612050. The cubic root of 1890910112 is about 1236.5840147737.

The spelling of 1890910112 in words is "one billion, eight hundred ninety million, nine hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 364 416 508 728 889 1016 1456 1651 1778 2032 2912 3302 3556 4064 5113 6604 7112 10226 11557 13208 14224 20452 23114 26416 28448 35791 40904 46228 52832 66469 71582 81808 92456 132938 143164 163616 184912 265876 286328 369824 465283 531752 572656 649351 930566 1063504 1145312 1298702 1861132 2127008 2597404 3722264 4545457 5194808 7444528 8441563 9090914 10389616 14889056 16883126 18181828 20779232 33766252 36363656 59090941 67532504 72727312 118181882 135065008 145454624 236363764 270130016 472727528 945455056 1890910112