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190458090 = 232519127877
BaseRepresentation
bin10110101101000…
…10100011101010
3111021101021101100
423112202203222
5342224124330
630522102230
74501603254
oct1326424352
9437337340
10190458090
1198565a89
125394a976
13305c60c4
141b41acd4
1511ac2060
hexb5a28ea

190458090 has 96 divisors (see below), whose sum is σ = 525957120. Its totient is φ = 47682432.

The previous prime is 190458083. The next prime is 190458091. The reversal of 190458090 is 90854091.

190458090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (190458091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216732 + ... + 217608.

It is an arithmetic number, because the mean of its divisors is an integer number (5478720).

Almost surely, 2190458090 is an apocalyptic number.

190458090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190458090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262978560).

190458090 is an abundant number, since it is smaller than the sum of its proper divisors (335499030).

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

190458090 is a wasteful number, since it uses less digits than its factorization.

190458090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 190458090 is about 13800.6554192183. The cubic root of 190458090 is about 575.3513567765.

The spelling of 190458090 in words is "one hundred ninety million, four hundred fifty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 127 171 190 254 285 342 381 570 635 762 855 877 1143 1270 1710 1754 1905 2286 2413 2631 3810 4385 4826 5262 5715 7239 7893 8770 11430 12065 13155 14478 15786 16663 21717 24130 26310 33326 36195 39465 43434 49989 72390 78930 83315 99978 108585 111379 149967 166630 217170 222758 249945 299934 334137 499890 556895 668274 749835 1002411 1113790 1499670 1670685 2004822 2116201 3341370 4232402 5012055 6348603 10024110 10581005 12697206 19045809 21162010 31743015 38091618 63486030 95229045 190458090