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2073760640 = 27571773373
BaseRepresentation
bin111101110011011…
…0001001110000000
312100112010221210122
41323212301032000
513221340320030
6541435515412
7102250450250
oct17346611600
95315127718
102073760640
11974647076
1249a5b8b68
13270831803
141595b9960
15c20d28e5
hex7b9b1380

2073760640 has 256 divisors, whose sum is σ = 6097576320. Its totient is φ = 658243584.

The previous prime is 2073760639. The next prime is 2073760709. The reversal of 2073760640 is 460673702.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2073760640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5559494 + ... + 5559866.

Almost surely, 22073760640 is an apocalyptic number.

2073760640 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 2073760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048788160).

2073760640 is an abundant number, since it is smaller than the sum of its proper divisors (4023815680).

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

2073760640 is a wasteful number, since it uses less digits than its factorization.

2073760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2073760640 is about 45538.5621204710. The cubic root of 2073760640 is about 1275.2232114652.

The spelling of 2073760640 in words is "two billion, seventy-three million, seven hundred sixty thousand, six hundred forty".