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2140161120 = 253251486223
BaseRepresentation
bin111111110010000…
…0100010001100000
312112011002110010200
41333210010101200
513340340123440
6552211025200
7104015032536
oct17744042140
95464073120
102140161120
119a90797a9
124b889b200
1328150cb36
14164342156
15c7d4bc30
hex7f904460

2140161120 has 72 divisors (see below), whose sum is σ = 7303304736. Its totient is φ = 570709248.

The previous prime is 2140161119. The next prime is 2140161143. The reversal of 2140161120 is 211610412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140161093 and 2140161102.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 741672 + ... + 744551.

It is an arithmetic number, because the mean of its divisors is an integer number (101434788).

Almost surely, 22140161120 is an apocalyptic number.

2140161120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140161120 is an abundant number, since it is smaller than the sum of its proper divisors (5163143616).

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

2140161120 is a wasteful number, since it uses less digits than its factorization.

2140161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486244 (or 1486233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2140161120 is about 46261.8754483646. The cubic root of 2140161120 is about 1288.6910826490.

Adding to 2140161120 its reverse (211610412), we get a palindrome (2351771532).

The spelling of 2140161120 in words is "two billion, one hundred forty million, one hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1486223 2972446 4458669 5944892 7431115 8917338 11889784 13376007 14862230 17834676 22293345 23779568 26752014 29724460 35669352 44586690 47559136 53504028 59448920 66880035 71338704 89173380 107008056 118897840 133760070 142677408 178346760 214016112 237795680 267520140 356693520 428032224 535040280 713387040 1070080560 2140161120