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2885400320 = 285111012029
BaseRepresentation
bin1010101111111011…
…1011011100000000
321110002101112010112
42223332323130000
521402130302240
61154152050452
7131334332555
oct25376733400
97402345115
102885400320
111250807a70
12686393a28
1336ca2b68a
141d52d4a2c
1511d4a8665
hexabfbb700

2885400320 has 144 divisors (see below), whose sum is σ = 7618151520. Its totient is φ = 1038336000.

The previous prime is 2885400283. The next prime is 2885400337. The reversal of 2885400320 is 230045882.

It is a super-2 number, since 2×28854003202 = 16651070013312204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421066 + ... + 1423094.

It is an arithmetic number, because the mean of its divisors is an integer number (52903830).

Almost surely, 22885400320 is an apocalyptic number.

2885400320 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 2885400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809075760).

2885400320 is an abundant number, since it is smaller than the sum of its proper divisors (4732751200).

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

2885400320 is a wasteful number, since it uses less digits than its factorization.

2885400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2885400320 is about 53715.9224066757. The cubic root of 2885400320 is about 1423.6460425647.

The spelling of 2885400320 in words is "two billion, eight hundred eighty-five million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 880 1010 1111 1280 1408 1616 1760 2020 2029 2222 2816 3232 3520 4040 4058 4444 5555 6464 7040 8080 8116 8888 10145 11110 12928 14080 16160 16232 17776 20290 22220 22319 25856 32320 32464 35552 40580 44440 44638 64640 64928 71104 81160 88880 89276 111595 129280 129856 142208 162320 177760 178552 204929 223190 259712 284416 324640 355520 357104 409858 446380 519424 649280 711040 714208 819716 892760 1024645 1298560 1422080 1428416 1639432 1785520 2049290 2254219 2597120 2856832 3278864 3571040 4098580 4508438 5713664 6557728 7142080 8197160 9016876 11271095 13115456 14284160 16394320 18033752 22542190 26230912 28568320 32788640 36067504 45084380 52461824 65577280 72135008 90168760 131154560 144270016 180337520 262309120 288540032 360675040 577080064 721350080 1442700160 2885400320