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2143040240 = 245114016073
BaseRepresentation
bin111111110111100…
…0011001011110000
312112100111201112202
41333233003023300
513342104241430
6552352442332
7104051353505
oct17757031360
95470451482
102143040240
119aa765940
124b98493a8
13281caa463
141648914ac
15c8219d45
hex7fbc32f0

2143040240 has 80 divisors (see below), whose sum is σ = 5449981536. Its totient is φ = 777216000.

The previous prime is 2143040219. The next prime is 2143040287. The reversal of 2143040240 is 420403412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 349844 + ... + 355916.

Almost surely, 22143040240 is an apocalyptic number.

2143040240 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 2143040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724990768).

2143040240 is an abundant number, since it is smaller than the sum of its proper divisors (3306941296).

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

2143040240 is a wasteful number, since it uses less digits than its factorization.

2143040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2143040240 is about 46292.9826215594. The cubic root of 2143040240 is about 1289.2687079625.

Adding to 2143040240 its reverse (420403412), we get a palindrome (2563443652).

The spelling of 2143040240 in words is "two billion, one hundred forty-three million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 401 440 802 880 1604 2005 3208 4010 4411 6073 6416 8020 8822 12146 16040 17644 22055 24292 30365 32080 35288 44110 48584 60730 66803 70576 88220 97168 121460 133606 176440 242920 267212 334015 352880 485840 534424 668030 1068848 1336060 2435273 2672120 4870546 5344240 9741092 12176365 19482184 24352730 26788003 38964368 48705460 53576006 97410920 107152012 133940015 194821840 214304024 267880030 428608048 535760060 1071520120 2143040240