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2870042120 = 2351123283601
BaseRepresentation
bin1010101100010001…
…0101111000001000
321102000111020122022
42223010111320020
521334212321440
61152442544012
7131056645511
oct25304257010
97360436568
102870042120
111243078140
12681208008
133697b1c9a
141d3257a08
1511be72cb5
hexab115e08

2870042120 has 64 divisors (see below), whose sum is σ = 7350963840. Its totient is φ = 998272000.

The previous prime is 2870042117. The next prime is 2870042129. The reversal of 2870042120 is 212400782.

It is a self number, because there is not a number n which added to its sum of digits gives 2870042120.

It is not an unprimeable number, because it can be changed into a prime (2870042129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 131681 + ... + 151920.

It is an arithmetic number, because the mean of its divisors is an integer number (114858810).

Almost surely, 22870042120 is an apocalyptic number.

2870042120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2870042120 is an abundant number, since it is smaller than the sum of its proper divisors (4480921720).

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

2870042120 is a wasteful number, since it uses less digits than its factorization.

2870042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283646 (or 283642 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2870042120 is about 53572.7740554846. The cubic root of 2870042120 is about 1421.1156543435.

The spelling of 2870042120 in words is "two billion, eight hundred seventy million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 283601 567202 1134404 1418005 2268808 2836010 3119611 5672020 6239222 6522823 11344040 12478444 13045646 15598055 24956888 26091292 31196110 32614115 52182584 62392220 65228230 71751053 124784440 130456460 143502106 260912920 287004212 358755265 574008424 717510530 1435021060 2870042120