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190826090 = 257213291033
BaseRepresentation
bin10110101111111…
…00011001101010
3111022001222011222
423113330121222
5342322413330
630534022042
74504665200
oct1327743152
9438058158
10190826090
1198797514
1253aa7922
13306c4760
141b4b5070
1511b460e5
hexb5fc66a

190826090 has 96 divisors (see below), whose sum is σ = 445571280. Its totient is φ = 58254336.

The previous prime is 190826087. The next prime is 190826107. The reversal of 190826090 is 90628091.

It can be written as a sum of positive squares in 8 ways, for example, as 104019601 + 86806489 = 10199^2 + 9317^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 190826090.

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 47 ways as a sum of consecutive naturals, for example, 184214 + ... + 185246.

Almost surely, 2190826090 is an apocalyptic number.

190826090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190826090 is an abundant number, since it is smaller than the sum of its proper divisors (254745190).

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

190826090 is a wasteful number, since it uses less digits than its factorization.

190826090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 190826090 is about 13813.9816852347. The cubic root of 190826090 is about 575.7216798553.

The spelling of 190826090 in words is "one hundred ninety million, eight hundred twenty-six thousand, ninety".

Divisors: 1 2 5 7 10 13 14 26 29 35 49 58 65 70 91 98 130 145 182 203 245 290 377 406 455 490 637 754 910 1015 1033 1274 1421 1885 2030 2066 2639 2842 3185 3770 5165 5278 6370 7105 7231 10330 13195 13429 14210 14462 18473 26390 26858 29957 36155 36946 50617 59914 67145 72310 92365 94003 101234 134290 149785 184730 188006 209699 253085 299570 389441 419398 470015 506170 658021 778882 940030 1048495 1316042 1467893 1947205 2096990 2726087 2935786 3290105 3894410 5452174 6580210 7339465 13630435 14678930 19082609 27260870 38165218 95413045 190826090