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2146857930 = 232575995689
BaseRepresentation
bin111111111110110…
…0111001111001010
312112121200200102200
41333331213033022
513344043423210
6553010341030
7104125664010
oct17775471712
95477620380
102146857930
11a01933158
124bab8a776
13282a16049
141651a68b0
15c87210c0
hex7ff673ca

2146857930 has 96 divisors (see below), whose sum is σ = 6391008000. Its totient is φ = 489805056.

The previous prime is 2146857917. The next prime is 2146857961. The reversal of 2146857930 is 397586412.

2146857930 is a `hidden beast` number, since 2 + 1 + 46 + 8 + 579 + 30 = 666.

2146857930 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2146857930 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374526 + ... + 380214.

It is an arithmetic number, because the mean of its divisors is an integer number (66573000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2146857930 = 4293715860, but 3⋅2146857930 = 6440573790 is not.

Almost surely, 22146857930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146857930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195504000).

2146857930 is an abundant number, since it is smaller than the sum of its proper divisors (4244150070).

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

2146857930 is a wasteful number, since it uses less digits than its factorization.

2146857930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2146857930 is about 46334.1982772984. The cubic root of 2146857930 is about 1290.0338372231.

The spelling of 2146857930 in words is "two billion, one hundred forty-six million, eight hundred fifty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 599 630 1198 1797 2995 3594 4193 5391 5689 5990 8386 8985 10782 11378 12579 17067 17970 20965 25158 26955 28445 34134 37737 39823 41930 51201 53910 56890 62895 75474 79646 85335 102402 119469 125790 170670 188685 199115 238938 256005 358407 377370 398230 512010 597345 716814 1194690 1792035 3407711 3584070 6815422 10223133 17038555 20446266 23853977 30669399 34077110 47707954 51115665 61338798 71561931 102231330 119269885 143123862 153346995 214685793 238539770 306693990 357809655 429371586 715619310 1073428965 2146857930