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2890430190 = 233534730851
BaseRepresentation
bin1010110001001000…
…0111011011101110
321110102212001211000
42230102013123232
521404422231230
61154451541130
7131425152114
oct25422073356
97412761730
102890430190
111253632a8a
12687bba7a6
13370a9cc2b
141d5c43ab4
1511db4db60
hexac4876ee

2890430190 has 64 divisors (see below), whose sum is σ = 7730277120. Its totient is φ = 768535200.

The previous prime is 2890430167. The next prime is 2890430209. The reversal of 2890430190 is 910340982.

It is a super-2 number, since 2×28904301902 = 16709173366526872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78265 + ... + 109115.

It is an arithmetic number, because the mean of its divisors is an integer number (120785580).

Almost surely, 22890430190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890430190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865138560).

2890430190 is an abundant number, since it is smaller than the sum of its proper divisors (4839846930).

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

2890430190 is a wasteful number, since it uses less digits than its factorization.

2890430190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31214 (or 31208 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2890430190 is about 53762.7211922909. The cubic root of 2890430190 is about 1424.4728022101.

The spelling of 2890430190 in words is "two billion, eight hundred ninety million, four hundred thirty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 347 694 1041 1735 2082 3123 3470 5205 6246 9369 10410 15615 18738 30851 31230 46845 61702 92553 93690 154255 185106 277659 308510 462765 555318 832977 925530 1388295 1665954 2776590 4164885 8329770 10705297 21410594 32115891 53526485 64231782 96347673 107052970 160579455 192695346 289043019 321158910 481738365 578086038 963476730 1445215095 2890430190