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2096737920 = 27335711709
BaseRepresentation
bin111110011111001…
…1010111010000000
312102010101022201000
41330332122322000
513243231103140
6544020212000
7102646656354
oct17476327200
95363338630
102096737920
11986610262
124a623a000
13275518134
1415c67b464
15c4120a30
hex7cf9ae80

2096737920 has 256 divisors, whose sum is σ = 7534944000. Its totient is φ = 550932480.

The previous prime is 2096737919. The next prime is 2096737931. The reversal of 2096737920 is 297376902.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226026 + ... + 1227734.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 22096737920 is an apocalyptic number.

2096737920 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 2096737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767472000).

2096737920 is an abundant number, since it is smaller than the sum of its proper divisors (5438206080).

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

2096737920 is a wasteful number, since it uses less digits than its factorization.

2096737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 2096737920 is about 45790.1509060628. The cubic root of 2096737920 is about 1279.9157496630.

The spelling of 2096737920 in words is "two billion, ninety-six million, seven hundred thirty-seven thousand, nine hundred twenty".