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2048670720 = 210325231933
BaseRepresentation
bin111101000011100…
…0011110000000000
312021202221020220100
41322013003300000
513143424430340
6535142042400
7101524261635
oct17207036000
95252836810
102048670720
1196146a6a8
12492119400
132685886c5
1415612818c
15becc8830
hex7a1c3c00

2048670720 has 264 divisors, whose sum is σ = 7411057056. Its totient is φ = 522289152.

The previous prime is 2048670719. The next prime is 2048670727. The reversal of 2048670720 is 270768402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048670727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058874 + ... + 1060806.

Almost surely, 22048670720 is an apocalyptic number.

2048670720 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 2048670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705528528).

2048670720 is an abundant number, since it is smaller than the sum of its proper divisors (5362386336).

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

2048670720 is a wasteful number, since it uses less digits than its factorization.

2048670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2048670720 is about 45262.2438683722. The cubic root of 2048670720 is about 1270.0594594684.

The spelling of 2048670720 in words is "two billion, forty-eight million, six hundred seventy thousand, seven hundred twenty".