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2140003320 = 2335713195971
BaseRepresentation
bin111111110001101…
…1101101111111000
312112010210102200020
41333203131233320
513340320101240
6552203410440
7104013504510
oct17743355770
95463712606
102140003320
119a8a81194
124b8823a20
13281486070
14164300840
15c7d1a0d0
hex7f8ddbf8

2140003320 has 128 divisors (see below), whose sum is σ = 7901591040. Its totient is φ = 451514880.

The previous prime is 2140003319. The next prime is 2140003321. The reversal of 2140003320 is 233000412.

It is an interprime number because it is at equal distance from previous prime (2140003319) and next prime (2140003321).

It is a super-2 number, since 2×21400033202 = 9159228419222044800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2140003320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140003321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87066 + ... + 108905.

It is an arithmetic number, because the mean of its divisors is an integer number (61731180).

Almost surely, 22140003320 is an apocalyptic number.

2140003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140003320 is an abundant number, since it is smaller than the sum of its proper divisors (5761587720).

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

2140003320 is a wasteful number, since it uses less digits than its factorization.

2140003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196005 (or 196001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2140003320 is about 46260.1699088968. The cubic root of 2140003320 is about 1288.6594089509.

Adding to 2140003320 its reverse (233000412), we get a palindrome (2373003732).

The spelling of 2140003320 in words is "two billion, one hundred forty million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 195971 391942 587913 783884 979855 1175826 1371797 1567768 1959710 2351652 2547623 2743594 2939565 3919420 4115391 4703304 5095246 5487188 5879130 6858985 7642869 7838840 8230782 10190492 10974376 11758260 12738115 13717970 15285738 16461564 17833361 20380984 20576955 23516520 25476230 27435940 30571476 32923128 35666722 38214345 41153910 50952460 53500083 54871880 61142952 71333444 76428690 82307820 89166805 101904920 107000166 142666888 152857380 164615640 178333610 214000332 267500415 305714760 356667220 428000664 535000830 713334440 1070001660 2140003320