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2090756500 = 22537373167
BaseRepresentation
bin111110010011110…
…0110100110010100
312101201010102201221
41330213212212110
513240213202000
6543244100124
7102545065000
oct17447464624
95351112657
102090756500
119831a5338
124a4234644
13274202731
1415b961700
15c383d61a
hex7c9e6994

2090756500 has 192 divisors, whose sum is σ = 5430297600. Its totient is φ = 702777600.

The previous prime is 2090756497. The next prime is 2090756513. The reversal of 2090756500 is 56570902.

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 63 ways as a sum of consecutive naturals, for example, 12519417 + ... + 12519583.

It is an arithmetic number, because the mean of its divisors is an integer number (28282800).

Almost surely, 22090756500 is an apocalyptic number.

2090756500 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 2090756500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715148800).

2090756500 is an abundant number, since it is smaller than the sum of its proper divisors (3339541100).

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

2090756500 is a wasteful number, since it uses less digits than its factorization.

2090756500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 2090756500 is about 45724.7908688493. The cubic root of 2090756500 is about 1278.6975072628.

The spelling of 2090756500 in words is "two billion, ninety million, seven hundred fifty-six thousand, five hundred".