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19903140 = 22325110573
BaseRepresentation
bin100101111101…
…1001010100100
31101110011222100
41023323022210
520043400030
61550332100
7331113435
oct113731244
941404870
1019903140
1110264584
1267ba030
13417b30a
14290148c
151b32360
hex12fb2a4

19903140 has 36 divisors (see below), whose sum is σ = 60373404. Its totient is φ = 5307456.

The previous prime is 19903129. The next prime is 19903153. The reversal of 19903140 is 4130991.

It can be written as a sum of positive squares in 2 ways, for example, as 11329956 + 8573184 = 3366^2 + 2928^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×199031402 = 792269963719200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 55107 + ... + 55466.

It is an arithmetic number, because the mean of its divisors is an integer number (1677039).

Almost surely, 219903140 is an apocalyptic number.

19903140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19903140 is an abundant number, since it is smaller than the sum of its proper divisors (40470264).

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

19903140 is a wasteful number, since it uses less digits than its factorization.

19903140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110588 (or 110583 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19903140 is about 4461.2935343911. The cubic root of 19903140 is about 271.0028548693.

The spelling of 19903140 in words is "nineteen million, nine hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 110573 221146 331719 442292 552865 663438 995157 1105730 1326876 1658595 1990314 2211460 3317190 3980628 4975785 6634380 9951570 19903140