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2140213020 = 22351123140989
BaseRepresentation
bin111111110010001…
…0000111100011100
312112011012002022220
41333210100330130
513340343304040
6552212105340
7104015340051
oct17744207434
95464162286
102140213020
119a91047a0
124b8905250
1328152a64a
14164357028
15c7d5c2d0
hex7f910f1c

2140213020 has 96 divisors (see below), whose sum is σ = 6821660160. Its totient is φ = 496277760.

The previous prime is 2140213007. The next prime is 2140213027. The reversal of 2140213020 is 203120412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140213027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55315 + ... + 85674.

It is an arithmetic number, because the mean of its divisors is an integer number (71058960).

Almost surely, 22140213020 is an apocalyptic number.

2140213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140213020 is an abundant number, since it is smaller than the sum of its proper divisors (4681447140).

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

2140213020 is a wasteful number, since it uses less digits than its factorization.

2140213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141035 (or 141033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2140213020 is about 46262.4363820152. The cubic root of 2140213020 is about 1288.7014997037.

Adding to 2140213020 its reverse (203120412), we get a palindrome (2343333432).

The spelling of 2140213020 in words is "two billion, one hundred forty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 140989 281978 422967 563956 704945 845934 1409890 1550879 1691868 2114835 2819780 3101758 3242747 4229670 4652637 6203516 6485494 7754395 8459340 9305274 9728241 12970988 15508790 16213735 18610548 19456482 23263185 31017580 32427470 35670217 38912964 46526370 48641205 64854940 71340434 93052740 97282410 107010651 142680868 178351085 194564820 214021302 356702170 428042604 535053255 713404340 1070106510 2140213020