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2093696640 = 27335719911
BaseRepresentation
bin111110011001011…
…0100011010000000
312101220122210212000
41330302310122000
513241441243030
6543431104000
7102612061560
oct17462643200
95356583760
102093696640
11984923302
124a5212000
132749c1a69
1415c0c8da0
15c3c1e860
hex7ccb4680

2093696640 has 512 divisors, whose sum is σ = 8930304000. Its totient is φ = 452874240.

The previous prime is 2093696603. The next prime is 2093696641. The reversal of 2093696640 is 466963902.

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

It is not an unprimeable number, because it can be changed into a prime (2093696641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297785 + ... + 2298695.

It is an arithmetic number, because the mean of its divisors is an integer number (17442000).

Almost surely, 22093696640 is an apocalyptic number.

2093696640 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 2093696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465152000).

2093696640 is an abundant number, since it is smaller than the sum of its proper divisors (6836607360).

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

2093696640 is a wasteful number, since it uses less digits than its factorization.

2093696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2093696640 is about 45756.9299669460. The cubic root of 2093696640 is about 1279.2966187595.

The spelling of 2093696640 in words is "two billion, ninety-three million, six hundred ninety-six thousand, six hundred forty".