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2020379760 = 2436573101
BaseRepresentation
bin111100001101100…
…1000110001110000
312012210200221000000
41320123020301300
513114204123020
6532251430000
7101031642000
oct17033106160
95183627000
102020379760
119474a7243
12484755300
132627615a9
14152482000
15bc58b090
hex786c8c70

2020379760 has 560 divisors, whose sum is σ = 8294558400. Its totient is φ = 457228800.

The previous prime is 2020379759. The next prime is 2020379761. The reversal of 2020379760 is 679730202.

It is an interprime number because it is at equal distance from previous prime (2020379759) and next prime (2020379761).

It is a tau number, because it is divible by the number of its divisors (560).

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 (2020379761) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003710 + ... + 20003810.

Almost surely, 22020379760 is an apocalyptic number.

2020379760 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 2020379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147279200).

2020379760 is an abundant number, since it is smaller than the sum of its proper divisors (6274178640).

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

2020379760 is an equidigital number, since it uses as much as digits as its factorization.

2020379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2020379760 is about 44948.6346844929. The cubic root of 2020379760 is about 1264.1860772630.

The spelling of 2020379760 in words is "two billion, twenty million, three hundred seventy-nine thousand, seven hundred sixty".