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2046086240 = 255111517699
BaseRepresentation
bin111100111110100…
…1100110001100000
312021121001221122212
41321331030301200
513142244224430
6535010421252
7101463306002
oct17175146140
95247057585
102046086240
1195aa64970
12491291828
13267b92223
14155a54372
15be967b95
hex79f4cc60

2046086240 has 96 divisors (see below), whose sum is σ = 5308934400. Its totient is φ = 739008000.

The previous prime is 2046086239. The next prime is 2046086293. The reversal of 2046086240 is 426806402.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2046086197 and 2046086206.

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, 261911 + ... + 269609.

It is an arithmetic number, because the mean of its divisors is an integer number (55301400).

Almost surely, 22046086240 is an apocalyptic number.

2046086240 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 2046086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654467200).

2046086240 is an abundant number, since it is smaller than the sum of its proper divisors (3262848160).

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

2046086240 is a wasteful number, since it uses less digits than its factorization.

2046086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2046086240 is about 45233.6847935253. The cubic root of 2046086240 is about 1269.5251578000.

The spelling of 2046086240 in words is "two billion, forty-six million, eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 151 160 176 220 302 352 440 604 755 880 1208 1510 1661 1760 2416 3020 3322 4832 6040 6644 7699 8305 12080 13288 15398 16610 24160 26576 30796 33220 38495 53152 61592 66440 76990 84689 123184 132880 153980 169378 246368 265760 307960 338756 423445 615920 677512 846890 1162549 1231840 1355024 1693780 2325098 2710048 3387560 4650196 5812745 6775120 9300392 11625490 12788039 13550240 18600784 23250980 25576078 37201568 46501960 51152156 63940195 93003920 102304312 127880390 186007840 204608624 255760780 409217248 511521560 1023043120 2046086240