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2030113440 = 253254313271
BaseRepresentation
bin111100100000001…
…0001001010100000
312020111000110002200
41321000101022200
513124202112230
6533240213200
7101210452035
oct17100211240
95214013080
102030113440
11951a45303
12487a6a200
1326478bb74
1415389738c
15bd360160
hex790112a0

2030113440 has 144 divisors (see below), whose sum is σ = 6945958656. Its totient is φ = 539942400.

The previous prime is 2030113411. The next prime is 2030113453. The reversal of 2030113440 is 443110302.

2030113440 is a `hidden beast` number, since 20 + 301 + 1 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619005 + ... + 622275.

It is an arithmetic number, because the mean of its divisors is an integer number (48235824).

Almost surely, 22030113440 is an apocalyptic number.

2030113440 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 2030113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472979328).

2030113440 is an abundant number, since it is smaller than the sum of its proper divisors (4915845216).

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

2030113440 is a wasteful number, since it uses less digits than its factorization.

2030113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2030113440 is about 45056.7801779044. The cubic root of 2030113440 is about 1266.2130022027.

Adding to 2030113440 its reverse (443110302), we get a palindrome (2473223742).

The spelling of 2030113440 in words is "two billion, thirty million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 431 480 720 862 1293 1440 1724 2155 2586 3271 3448 3879 4310 5172 6465 6542 6896 7758 8620 9813 10344 12930 13084 13792 15516 16355 17240 19395 19626 20688 25860 26168 29439 31032 32710 34480 38790 39252 41376 49065 51720 52336 58878 62064 65420 68960 77580 78504 98130 103440 104672 117756 124128 130840 147195 155160 157008 196260 206880 235512 261680 294390 310320 314016 392520 471024 523360 588780 620640 785040 942048 1177560 1409801 1570080 2355120 2819602 4229403 4710240 5639204 7049005 8458806 11278408 12688209 14098010 16917612 21147015 22556816 25376418 28196020 33835224 42294030 45113632 50752836 56392040 63441045 67670448 84588060 101505672 112784080 126882090 135340896 169176120 203011344 225568160 253764180 338352240 406022688 507528360 676704480 1015056720 2030113440