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981895420 = 22511113127311
BaseRepresentation
bin111010100001101…
…000100011111100
32112102121110022001
4322201220203330
54002331123140
6241233232044
733221654602
oct7241504374
92472543261
10981895420
11464288620
12234a02624
1312856b70c
1494597872
155b306e9a
hex3a8688fc

981895420 has 96 divisors (see below), whose sum is σ = 2294562816. Its totient is φ = 349977600.

The previous prime is 981895403. The next prime is 981895459. The reversal of 981895420 is 24598189.

981895420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3157065 + ... + 3157375.

It is an arithmetic number, because the mean of its divisors is an integer number (23901696).

Almost surely, 2981895420 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 981895420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

981895420 is an abundant number, since it is smaller than the sum of its proper divisors (1312667396).

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

981895420 is a wasteful number, since it uses less digits than its factorization.

981895420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 981895420 is about 31335.2105466040. The cubic root of 981895420 is about 993.9283496726.

The spelling of 981895420 in words is "nine hundred eighty-one million, eight hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 127 220 226 254 311 452 508 565 622 635 1130 1243 1244 1270 1397 1555 2260 2486 2540 2794 3110 3421 4972 5588 6215 6220 6842 6985 12430 13684 13970 14351 17105 24860 27940 28702 34210 35143 39497 57404 68420 70286 71755 78994 140572 143510 157861 157988 175715 197485 287020 315722 351430 386573 394970 434467 631444 702860 773146 789305 789940 868934 1546292 1578610 1737868 1932865 2172335 3157220 3865730 4344670 4463161 7731460 8689340 8926322 17852644 22315805 44631610 49094771 89263220 98189542 196379084 245473855 490947710 981895420