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2040214000 = 24531192737
BaseRepresentation
bin111100110011011…
…0011000111110000
312021012000121110111
41321212303013300
513134243322000
6534240511104
7101362350526
oct17146630760
95235017414
102040214000
11957713a80
1248b31b494
132668b7426
14154d66316
15be1a7cba
hex799b31f0

2040214000 has 80 divisors (see below), whose sum is σ = 5381771616. Its totient is φ = 741888000.

The previous prime is 2040213971. The next prime is 2040214019. The reversal of 2040214000 is 4120402.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24369 + ... + 68368.

Almost surely, 22040214000 is an apocalyptic number.

2040214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040214000 is an abundant number, since it is smaller than the sum of its proper divisors (3341557616).

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

2040214000 is a wasteful number, since it uses less digits than its factorization.

2040214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92771 (or 92755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2040214000 is about 45168.7281202382. The cubic root of 2040214000 is about 1268.3094873597.

Adding to 2040214000 its reverse (4120402), we get a palindrome (2044334402).

The spelling of 2040214000 in words is "two billion, forty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 92737 185474 370948 463685 741896 927370 1020107 1483792 1854740 2040214 2318425 3709480 4080428 4636850 5100535 7418960 8160856 9273700 10201070 11592125 16321712 18547400 20402140 23184250 25502675 37094800 40804280 46368500 51005350 81608560 92737000 102010700 127513375 185474000 204021400 255026750 408042800 510053500 1020107000 2040214000