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2142600120 = 233351983889
BaseRepresentation
bin111111110110101…
…0111101110111000
312112022200100211000
41333231113232320
513342001200440
6552335205000
7104044541403
oct17755275670
95468610730
102142600120
119aa495201
124b9676760
13281b8502b
141647b8d3a
15c817e730
hex7fb57bb8

2142600120 has 64 divisors (see below), whose sum is σ = 7142004000. Its totient is φ = 571359744.

The previous prime is 2142600091. The next prime is 2142600143. The reversal of 2142600120 is 210062412.

2142600120 is a `hidden beast` number, since 2 + 1 + 42 + 600 + 1 + 20 = 666.

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 = 2142600093 and 2142600102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990865 + ... + 993024.

Almost surely, 22142600120 is an apocalyptic number.

2142600120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142600120 is an abundant number, since it is smaller than the sum of its proper divisors (4999403880).

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

2142600120 is a wasteful number, since it uses less digits than its factorization.

2142600120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983909 (or 1983899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142600120 is about 46288.2287412253. The cubic root of 2142600120 is about 1289.1804421144.

Adding to 2142600120 its reverse (210062412), we get a palindrome (2352662532).

The spelling of 2142600120 in words is "two billion, one hundred forty-two million, six hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1983889 3967778 5951667 7935556 9919445 11903334 15871112 17855001 19838890 23806668 29758335 35710002 39677780 47613336 53565003 59516670 71420004 79355560 89275005 107130006 119033340 142840008 178550010 214260012 238066680 267825015 357100020 428520024 535650030 714200040 1071300060 2142600120