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2029110080 = 26517336653
BaseRepresentation
bin111100011110001…
…1100001101000000
312020102010110202012
41320330130031000
513123423010310
6533202512052
7101166102554
oct17074341500
95212113665
102029110080
1195141a488
12487665628
132644ca26a
141536b5864
15bd212c05
hex78f1c340

2029110080 has 56 divisors (see below), whose sum is σ = 4859880552. Its totient is φ = 806930432.

The previous prime is 2029110079. The next prime is 2029110103. The reversal of 2029110080 is 800119202.

It can be written as a sum of positive squares in 4 ways, for example, as 486820096 + 1542289984 = 22064^2 + 39272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37034 + ... + 73686.

Almost surely, 22029110080 is an apocalyptic number.

2029110080 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 2029110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429940276).

2029110080 is an abundant number, since it is smaller than the sum of its proper divisors (2830770472).

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

2029110080 is a wasteful number, since it uses less digits than its factorization.

2029110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36843 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2029110080 is about 45045.6444065350. The cubic root of 2029110080 is about 1266.0043641344.

Adding to 2029110080 its reverse (800119202), we get a palindrome (2829229282).

The spelling of 2029110080 in words is "two billion, twenty-nine million, one hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 173 320 346 692 865 1384 1730 2768 3460 5536 6920 11072 13840 27680 36653 55360 73306 146612 183265 293224 366530 586448 733060 1172896 1466120 2345792 2932240 5864480 6340969 11728960 12681938 25363876 31704845 50727752 63409690 101455504 126819380 202911008 253638760 405822016 507277520 1014555040 2029110080