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2018028240 = 2432512972161
BaseRepresentation
bin111100001001000…
…1010101011010000
312012122021110022200
41320102022223100
513113103400430
6532125203200
7101002646154
oct17022125320
95178243280
102018028240
11946140538
12483a00500
1326211a167
1415202d064
15bc274460
hex7848aad0

2018028240 has 120 divisors (see below), whose sum is σ = 6785575368. Its totient is φ = 537477120.

The previous prime is 2018028157. The next prime is 2018028269. The reversal of 2018028240 is 428208102.

It can be written as a sum of positive squares in 4 ways, for example, as 939299904 + 1078728336 = 30648^2 + 32844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 932760 + ... + 934920.

Almost surely, 22018028240 is an apocalyptic number.

2018028240 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 2018028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392787684).

2018028240 is an abundant number, since it is smaller than the sum of its proper divisors (4767547128).

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

2018028240 is a wasteful number, since it uses less digits than its factorization.

2018028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2018028240 is about 44922.4692108526. The cubic root of 2018028240 is about 1263.6954247991.

The spelling of 2018028240 in words is "two billion, eighteen million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1297 2161 2594 3891 4322 5188 6483 6485 7782 8644 10376 10805 11673 12966 12970 15564 17288 19449 19455 20752 21610 23346 25932 25940 31128 32415 34576 38898 38910 43220 46692 51864 51880 58365 62256 64830 77796 77820 86440 93384 97245 103728 103760 116730 129660 155592 155640 172880 186768 194490 233460 259320 311184 311280 388980 466920 518640 777960 933840 1555920 2802817 5605634 8408451 11211268 14014085 16816902 22422536 25225353 28028170 33633804 42042255 44845072 50450706 56056340 67267608 84084510 100901412 112112680 126126765 134535216 168169020 201802824 224225360 252253530 336338040 403605648 504507060 672676080 1009014120 2018028240