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2039991120 = 243252833321
BaseRepresentation
bin111100110010111…
…1100101101010000
312021011121021201200
41321211330231100
513134214203440
6534232031200
7101360431656
oct17145745520
95234537650
102039991120
11957581582
1248b232500
13266839b4b
14154d08dd6
15be161c30
hex7997cb50

2039991120 has 60 divisors (see below), whose sum is σ = 6850972596. Its totient is φ = 543997440.

The previous prime is 2039991119. The next prime is 2039991131. The reversal of 2039991120 is 211999302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 395850816 + 1644140304 = 19896^2 + 40548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415941 + ... + 1417380.

Almost surely, 22039991120 is an apocalyptic number.

2039991120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2039991120 is an abundant number, since it is smaller than the sum of its proper divisors (4810981476).

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

2039991120 is a wasteful number, since it uses less digits than its factorization.

2039991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833340 (or 2833331 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2039991120 is about 45166.2608591856. The cubic root of 2039991120 is about 1268.2633008465.

The spelling of 2039991120 in words is "two billion, thirty-nine million, nine hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2833321 5666642 8499963 11333284 14166605 16999926 22666568 25499889 28333210 33999852 42499815 45333136 50999778 56666420 67999704 84999630 101999556 113332840 127499445 135999408 169999260 203999112 226665680 254998890 339998520 407998224 509997780 679997040 1019995560 2039991120