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2026900480 = 210511172973
BaseRepresentation
bin111100011010000…
…0000110000000000
312020020222012202011
41320310000300000
513122341303410
6533043302304
7101141240563
oct17064006000
95206865664
102026900480
11950150370
1248697a994
13263c055c7
1415329c4da
15bce2818a
hex78d00c00

2026900480 has 352 divisors, whose sum is σ = 5889464640. Its totient is φ = 660602880.

The previous prime is 2026900459. The next prime is 2026900481. The reversal of 2026900480 is 840096202.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026900481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27765724 + ... + 27765796.

Almost surely, 22026900480 is an apocalyptic number.

2026900480 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 2026900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944732320).

2026900480 is an abundant number, since it is smaller than the sum of its proper divisors (3862564160).

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

2026900480 is a wasteful number, since it uses less digits than its factorization.

2026900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2026900480 is about 45021.1114922766. Note that the first 3 decimals coincide. The cubic root of 2026900480 is about 1265.5446586241.

Adding to 2026900480 its reverse (840096202), we get a palindrome (2866996682).

The spelling of 2026900480 in words is "two billion, twenty-six million, nine hundred thousand, four hundred eighty".