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2140023420 = 2232565918041
BaseRepresentation
bin111111110001110…
…0010101001111100
312112010211110020200
41333203202221330
513340321222140
6552204043500
7104013620223
oct17743425174
95463743220
102140023420
119a8a952a7
124b8833590
13281492262
14164307cba
15c7d21030
hex7f8e2a7c

2140023420 has 72 divisors (see below), whose sum is σ = 6501615120. Its totient is φ = 569775360.

The previous prime is 2140023407. The next prime is 2140023469. The reversal of 2140023420 is 243200412.

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 = 2140023393 and 2140023402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 109600 + ... + 127640.

It is an arithmetic number, because the mean of its divisors is an integer number (90300210).

Almost surely, 22140023420 is an apocalyptic number.

2140023420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140023420 is an abundant number, since it is smaller than the sum of its proper divisors (4361591700).

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

2140023420 is a wasteful number, since it uses less digits than its factorization.

2140023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18715 (or 18710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140023420 is about 46260.3871579130. The cubic root of 2140023420 is about 1288.6634435199.

Adding to 2140023420 its reverse (243200412), we get a palindrome (2383223832).

The spelling of 2140023420 in words is "two billion, one hundred forty million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 18041 19770 23724 29655 36082 39540 54123 59310 72164 90205 108246 118620 162369 180410 216492 270615 324738 360820 541230 649476 811845 1082460 1623690 3247380 11889019 23778038 35667057 47556076 59445095 71334114 107001171 118890190 142668228 178335285 214002342 237780380 356670570 428004684 535005855 713341140 1070011710 2140023420