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19000890 = 2325613461
BaseRepresentation
bin100100001111…
…0111000111010
31022202100022200
41020132320322
514331012030
61515131030
7320335116
oct110367072
938670280
1019000890
11a7a8717
126443a76
133c2373c
142748746
151a04d60
hex121ee3a

19000890 has 48 divisors (see below), whose sum is σ = 50226696. Its totient is φ = 4982400.

The previous prime is 19000889. The next prime is 19000901. The reversal of 19000890 is 9800091.

It can be written as a sum of positive squares in 4 ways, for example, as 6827769 + 12173121 = 2613^2 + 3489^2 .

It is a super-2 number, since 2×190008902 = 722067641584200, which contains 22 as substring.

It is a Curzon 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, 3760 + ... + 7220.

Almost surely, 219000890 is an apocalyptic number.

19000890 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 19000890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113348).

19000890 is an abundant number, since it is smaller than the sum of its proper divisors (31225806).

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

19000890 is a wasteful number, since it uses less digits than its factorization.

19000890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19000890 is about 4359.0010323467. The cubic root of 19000890 is about 266.8443312588.

The spelling of 19000890 in words is "nineteen million, eight hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 3461 5490 6922 10383 17305 20766 31149 34610 51915 62298 103830 155745 211121 311490 422242 633363 1055605 1266726 1900089 2111210 3166815 3800178 6333630 9500445 19000890