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2026347840 = 263551123103
BaseRepresentation
bin111100011000111…
…1001110101000000
312020012221010200000
41320301321311000
513122221112330
6533023400000
7101133446436
oct17061716500
95205833600
102026347840
1194a903140
12486753000
13263a70bba
14153196d56
15bcd69560
hex78c79d40

2026347840 has 672 divisors, whose sum is σ = 8307726336. Its totient is φ = 465315840.

The previous prime is 2026347811. The next prime is 2026347847. The reversal of 2026347840 is 487436202.

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 = 2026347795 and 2026347804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026347847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19673229 + ... + 19673331.

It is an arithmetic number, because the mean of its divisors is an integer number (12362688).

Almost surely, 22026347840 is an apocalyptic number.

2026347840 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 2026347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153863168).

2026347840 is an abundant number, since it is smaller than the sum of its proper divisors (6281378496).

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

2026347840 is a wasteful number, since it uses less digits than its factorization.

2026347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2026347840 is about 45014.9735088226. The cubic root of 2026347840 is about 1265.4296300899.

It can be divided in two parts, 2026 and 347840, that added together give a triangular number (349866 = T836).

The spelling of 2026347840 in words is "two billion, twenty-six million, three hundred forty-seven thousand, eight hundred forty".