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2094963920 = 245734710781
BaseRepresentation
bin111110011011110…
…1001110011010000
312102000001012020022
41330313221303100
513242302321140
6543514203012
7102625620350
oct17467516320
95360035208
102094963920
11985609445
124a5723468
1327504682a
1415c338b60
15c3dc00b5
hex7cde9cd0

2094963920 has 80 divisors (see below), whose sum is σ = 5583178368. Its totient is φ = 716136960.

The previous prime is 2094963889. The next prime is 2094963953. The reversal of 2094963920 is 293694902.

2094963920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20949639202 = 8777747652203532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188930 + ... + 199710.

Almost surely, 22094963920 is an apocalyptic number.

2094963920 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 2094963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791589184).

2094963920 is an abundant number, since it is smaller than the sum of its proper divisors (3488214448).

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

2094963920 is a wasteful number, since it uses less digits than its factorization.

2094963920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11142 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 2094963920 is about 45770.7758291249. The cubic root of 2094963920 is about 1279.5546790721.

The spelling of 2094963920 in words is "two billion, ninety-four million, nine hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 347 560 694 1388 1735 2429 2776 3470 4858 5552 6940 9716 10781 12145 13880 19432 21562 24290 27760 38864 43124 48580 53905 75467 86248 97160 107810 150934 172496 194320 215620 301868 377335 431240 603736 754670 862480 1207472 1509340 3018680 3741007 6037360 7482014 14964028 18705035 26187049 29928056 37410070 52374098 59856112 74820140 104748196 130935245 149640280 209496392 261870490 299280560 418992784 523740980 1047481960 2094963920