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2163412320 = 25357695861
BaseRepresentation
bin1000000011110011…
…0000110101100000
312120202211201210020
42000330300311200
513412313143240
6554401233440
7104416462356
oct20074606540
95522751706
102163412320
11a1020a773
12504632880
13286291044
141674757d6
15c9de10d0
hex80f30d60

2163412320 has 96 divisors (see below), whose sum is σ = 6824774880. Its totient is φ = 576061440.

The previous prime is 2163412319. The next prime is 2163412327. The reversal of 2163412320 is 232143612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163412327) 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, 366190 + ... + 372050.

It is an arithmetic number, because the mean of its divisors is an integer number (71091405).

Almost surely, 22163412320 is an apocalyptic number.

2163412320 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 2163412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412387440).

2163412320 is an abundant number, since it is smaller than the sum of its proper divisors (4661362560).

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

2163412320 is a wasteful number, since it uses less digits than its factorization.

2163412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2163412320 is about 46512.4963853801. The cubic root of 2163412320 is about 1293.3411614883.

Adding to 2163412320 its reverse (232143612), we get a palindrome (2395555932).

The spelling of 2163412320 in words is "two billion, one hundred sixty-three million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 769 1538 2307 3076 3845 4614 5861 6152 7690 9228 11535 11722 12304 15380 17583 18456 23070 23444 24608 29305 30760 35166 36912 46140 46888 58610 61520 70332 73824 87915 92280 93776 117220 123040 140664 175830 184560 187552 234440 281328 351660 369120 468880 562656 703320 937760 1406640 2813280 4507109 9014218 13521327 18028436 22535545 27042654 36056872 45071090 54085308 67606635 72113744 90142180 108170616 135213270 144227488 180284360 216341232 270426540 360568720 432682464 540853080 721137440 1081706160 2163412320