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2093102928 = 2432719293373
BaseRepresentation
bin111110011000010…
…0011011101010000
312101212112122102200
41330300203131100
513241313243203
6543410243200
7102604036620
oct17460433520
95355478380
102093102928
11984558234
124a4b86500
13274844757
1415bdb2880
15c3b539a3
hex7cc23750

2093102928 has 240 divisors, whose sum is σ = 7089962880. Its totient is φ = 563106816.

The previous prime is 2093102923. The next prime is 2093102929. The reversal of 2093102928 is 8292013902.

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 = 2093102892 and 2093102901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093102923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5611350 + ... + 5611722.

It is an arithmetic number, because the mean of its divisors is an integer number (29541512).

Almost surely, 22093102928 is an apocalyptic number.

2093102928 is a gapful number since it is divisible by the number (28) 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 2093102928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544981440).

2093102928 is an abundant number, since it is smaller than the sum of its proper divisors (4996859952).

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

2093102928 is a wasteful number, since it uses less digits than its factorization.

2093102928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2093102928 is about 45750.4418339321. The cubic root of 2093102928 is about 1279.1756834490.

The spelling of 2093102928 in words is "two billion, ninety-three million, one hundred two thousand, nine hundred twenty-eight".