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2073392640 = 2936511101
BaseRepresentation
bin111101110010101…
…0111011000000000
312100111110021000000
41323211113120000
513221242031030
6541424000000
7102244355334
oct17345273000
95314407000
102073392640
11974415640
1249a460000
13270733167
141595217c4
15c205d860
hex7b957600

2073392640 has 560 divisors, whose sum is σ = 8211612816. Its totient is φ = 497664000.

The previous prime is 2073392611. The next prime is 2073392693. The reversal of 2073392640 is 462933702.

It is a happy number.

2073392640 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 3 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2073392595 and 2073392604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528590 + ... + 20528690.

Almost surely, 22073392640 is an apocalyptic number.

2073392640 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 2073392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105806408).

2073392640 is an abundant number, since it is smaller than the sum of its proper divisors (6138220176).

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

2073392640 is an equidigital number, since it uses as much as digits as its factorization.

2073392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2073392640 is about 45534.5214095855. The cubic root of 2073392640 is about 1275.1477752594.

The spelling of 2073392640 in words is "two billion, seventy-three million, three hundred ninety-two thousand, six hundred forty".