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2080191760 = 245233136469
BaseRepresentation
bin111101111111101…
…0011010100010000
312100222020200122021
41323333103110100
513230012114020
6542225421224
7102356224003
oct17377232420
95328220567
102080191760
11978239949
124a079a814
13271c73aca
1415a3b153a
15c29531aa
hex7bfd3510

2080191760 has 80 divisors (see below), whose sum is σ = 5209666560. Its totient is φ = 770204160.

The previous prime is 2080191731. The next prime is 2080191769. The reversal of 2080191760 is 671910802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2080191769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38806 + ... + 75274.

It is an arithmetic number, because the mean of its divisors is an integer number (65120832).

Almost surely, 22080191760 is an apocalyptic number.

2080191760 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 2080191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604833280).

2080191760 is an abundant number, since it is smaller than the sum of its proper divisors (3129474800).

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

2080191760 is a wasteful number, since it uses less digits than its factorization.

2080191760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36536 (or 36530 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 2080191760 is about 45609.1192635859. The cubic root of 2080191760 is about 1276.5400864199.

The spelling of 2080191760 in words is "two billion, eighty million, one hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 36469 57040 72938 145876 182345 291752 364690 583504 729380 838787 1130539 1458760 1677574 2261078 2917520 3355148 4193935 4522156 5652695 6710296 8387870 9044312 11305390 13420592 16775740 18088624 22610780 26002397 33551480 45221560 52004794 67102960 90443120 104009588 130011985 208019176 260023970 416038352 520047940 1040095880 2080191760