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2142423660 = 22351319144563
BaseRepresentation
bin111111110110010…
…1100101001101100
312112022100101202110
41333230230221230
513341430024120
6552331324020
7104043205056
oct17754545154
95468311673
102142423660
119aa384673
124b95b0610
13281b22910
141647708d6
15c81472e0
hex7fb2ca6c

2142423660 has 96 divisors (see below), whose sum is σ = 6800290560. Its totient is φ = 499606272.

The previous prime is 2142423653. The next prime is 2142423683. The reversal of 2142423660 is 663242412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57462 + ... + 87101.

It is an arithmetic number, because the mean of its divisors is an integer number (70836360).

Almost surely, 22142423660 is an apocalyptic number.

2142423660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142423660 is an abundant number, since it is smaller than the sum of its proper divisors (4657866900).

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

2142423660 is a wasteful number, since it uses less digits than its factorization.

2142423660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144607 (or 144605 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2142423660 is about 46286.3226018227. The cubic root of 2142423660 is about 1289.1450497541.

The spelling of 2142423660 in words is "two billion, one hundred forty-two million, four hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 144563 289126 433689 578252 722815 867378 1445630 1734756 1879319 2168445 2746697 2891260 3758638 4336890 5493394 5637957 7517276 8240091 8673780 9396595 10986788 11275914 13733485 16480182 18793190 22551828 27466970 28189785 32960364 35707061 37586380 41200455 54933940 56379570 71414122 82400910 107121183 112759140 142828244 164801820 178535305 214242366 357070610 428484732 535605915 714141220 1071211830 2142423660