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990001110 = 235738912119
BaseRepresentation
bin111011000000100…
…011011111010110
32112222212021012210
4323000203133112
54011420013420
6242123054250
733350604420
oct7300433726
92488767183
10990001110
1146891453a
12237671386
1312a148c97
14956a7810
155bda89e0
hex3b0237d6

990001110 has 64 divisors (see below), whose sum is σ = 2722636800. Its totient is φ = 225685632.

The previous prime is 990001097. The next prime is 990001127. The reversal of 990001110 is 11100099.

It is a Harshad number since it is a multiple of its sum of digits (21).

990001110 is a modest number, since divided by 1110 gives 990 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75631 + ... + 87749.

It is an arithmetic number, because the mean of its divisors is an integer number (42541200).

Almost surely, 2990001110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361318400).

990001110 is an abundant number, since it is smaller than the sum of its proper divisors (1732635690).

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

990001110 is a wasteful number, since it uses less digits than its factorization.

990001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525.

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 990001110 is about 31464.2830841575. The cubic root of 990001110 is about 996.6558658999.

The spelling of 990001110 in words is "nine hundred ninety million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 389 778 1167 1945 2334 2723 3890 5446 5835 8169 11670 12119 13615 16338 24238 27230 36357 40845 60595 72714 81690 84833 121190 169666 181785 254499 363570 424165 508998 848330 1272495 2544990 4714291 9428582 14142873 23571455 28285746 33000037 47142910 66000074 70714365 99000111 141428730 165000185 198000222 330000370 495000555 990001110