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138005190 = 23253741443
BaseRepresentation
bin10000011100111…
…00101011000110
3100121200101112100
420032130223012
5240312131230
621405532530
73264011331
oct1016345306
9317611470
10138005190
117099a384
123a274146
132278c39b
1414485618
15c1b0660
hex839cac6

138005190 has 48 divisors (see below), whose sum is σ = 368520048. Its totient is φ = 35805888.

The previous prime is 138005173. The next prime is 138005209. The reversal of 138005190 is 91500831.

It is a super-2 number, since 2×1380051902 = 38090864933872200, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17392 + ... + 24051.

It is an arithmetic number, because the mean of its divisors is an integer number (7677501).

Almost surely, 2138005190 is an apocalyptic number.

138005190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138005190 is an abundant number, since it is smaller than the sum of its proper divisors (230514858).

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

138005190 is a wasteful number, since it uses less digits than its factorization.

138005190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41493 (or 41490 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 138005190 is about 11747.5610234636. The cubic root of 138005190 is about 516.7714034401.

The spelling of 138005190 in words is "one hundred thirty-eight million, five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 41443 82886 124329 207215 248658 372987 414430 621645 745974 1243290 1533391 1864935 3066782 3729870 4600173 7666955 9200346 13800519 15333910 23000865 27601038 46001730 69002595 138005190