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2086698240 = 28335112499
BaseRepresentation
bin111110001100000…
…0111110100000000
312101102111020212000
41330120013310000
513233143320430
6543021104000
7102465433224
oct17430076400
95342436760
102086698240
11980983300
124a29b8000
132734114b3
1415b1c6784
15c32dae60
hex7c607d00

2086698240 has 432 divisors, whose sum is σ = 8155560000. Its totient is φ = 504852480.

The previous prime is 2086698197. The next prime is 2086698311. The reversal of 2086698240 is 428966802.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181511 + ... + 4182009.

Almost surely, 22086698240 is an apocalyptic number.

2086698240 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 2086698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077780000).

2086698240 is an abundant number, since it is smaller than the sum of its proper divisors (6068861760).

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

2086698240 is a wasteful number, since it uses less digits than its factorization.

2086698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2086698240 is about 45680.3922925362. The cubic root of 2086698240 is about 1277.8696333770.

The spelling of 2086698240 in words is "two billion, eighty-six million, six hundred ninety-eight thousand, two hundred forty".