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1990558960 = 245131913999
BaseRepresentation
bin111011010100101…
…1000010011110000
312010201120212112221
41312221120103300
513034040341320
6525304330424
7100220320615
oct16651302360
95121525487
101990558960
11931689455
12476773a14
13259520050
1414c51c50c
15b9b4a3aa
hex76a584f0

1990558960 has 40 divisors (see below), whose sum is σ = 4984056000. Its totient is φ = 734975232.

The previous prime is 1990558931. The next prime is 1990558987. The reversal of 1990558960 is 698550991.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1990558898 and 1990558907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955960 + ... + 958039.

It is an arithmetic number, because the mean of its divisors is an integer number (124601400).

Almost surely, 21990558960 is an apocalyptic number.

1990558960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1990558960 is an abundant number, since it is smaller than the sum of its proper divisors (2993497040).

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

1990558960 is a wasteful number, since it uses less digits than its factorization.

1990558960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914025 (or 1914019 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The square root of 1990558960 is about 44615.6806515378. The cubic root of 1990558960 is about 1257.9354280489.

The spelling of 1990558960 in words is "one billion, nine hundred ninety million, five hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1913999 3827998 7655996 9569995 15311992 19139990 24881987 30623984 38279980 49763974 76559960 99527948 124409935 153119920 199055896 248819870 398111792 497639740 995279480 1990558960