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2150430560 = 25561792789
BaseRepresentation
bin1000000000101100…
…1111011101100000
312112212102012011022
42000023033131200
513401002234220
6553215105012
7104201233565
oct20013173540
95485365138
102150430560
11a03953343
12500212168
13283697225
1416585686c
15c8bc9925
hex802cf760

2150430560 has 96 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 835061760.

The previous prime is 2150430547. The next prime is 2150430571. The reversal of 2150430560 is 650340512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769646 + ... + 772434.

It is an arithmetic number, because the mean of its divisors is an integer number (54488700).

Almost surely, 22150430560 is an apocalyptic number.

2150430560 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 2150430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

2150430560 is an abundant number, since it is smaller than the sum of its proper divisors (3080484640).

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

2150430560 is a wasteful number, since it uses less digits than its factorization.

2150430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2150430560 is about 46372.7350929401. The cubic root of 2150430560 is about 1290.7490311730.

The spelling of 2150430560 in words is "two billion, one hundred fifty million, four hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 79 80 122 158 160 244 305 316 395 488 610 632 790 976 1220 1264 1580 1952 2440 2528 2789 3160 4819 4880 5578 6320 9638 9760 11156 12640 13945 19276 22312 24095 27890 38552 44624 48190 55780 77104 89248 96380 111560 154208 170129 192760 220331 223120 340258 385520 440662 446240 680516 771040 850645 881324 1101655 1361032 1701290 1762648 2203310 2722064 3402580 3525296 4406620 5444128 6805160 7050592 8813240 13440191 13610320 17626480 26880382 27220640 35252960 53760764 67200955 107521528 134401910 215043056 268803820 430086112 537607640 1075215280 2150430560