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2140354020 = 2235747910639
BaseRepresentation
bin111111110010011…
…0011010111100100
312112011110020202010
41333210303113210
513340412312040
6552215114220
7104016465120
oct17744632744
95464406663
102140354020
119a91a0722
124b8972970
1328157988c
14164392580
15c7d88e80
hex7f9335e4

2140354020 has 96 divisors (see below), whose sum is σ = 6864076800. Its totient is φ = 488156544.

The previous prime is 2140353991. The next prime is 2140354081. The reversal of 2140354020 is 204530412.

It is a super-2 number, since 2×21403540202 = 9162230661860320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 195861 + ... + 206499.

It is an arithmetic number, because the mean of its divisors is an integer number (71500800).

Almost surely, 22140354020 is an apocalyptic number.

2140354020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432038400).

2140354020 is an abundant number, since it is smaller than the sum of its proper divisors (4723722780).

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

2140354020 is a wasteful number, since it uses less digits than its factorization.

2140354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2140354020 is about 46263.9602714683. The cubic root of 2140354020 is about 1288.7297995224.

Adding to 2140354020 its reverse (204530412), we get a palindrome (2344884432).

The spelling of 2140354020 in words is "two billion, one hundred forty million, three hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 479 958 1437 1916 2395 2874 3353 4790 5748 6706 7185 9580 10059 10639 13412 14370 16765 20118 21278 28740 31917 33530 40236 42556 50295 53195 63834 67060 74473 100590 106390 127668 148946 159585 201180 212780 223419 297892 319170 372365 446838 638340 744730 893676 1117095 1489460 2234190 4468380 5096081 10192162 15288243 20384324 25480405 30576486 35672567 50960810 61152972 71345134 76441215 101921620 107017701 142690268 152882430 178362835 214035402 305764860 356725670 428070804 535088505 713451340 1070177010 2140354020