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2150541440 = 2755476143
BaseRepresentation
bin1000000000101110…
…1010100010000000
312112212121211020222
42000023222202000
513401014311230
6553221322212
7104202205055
oct20013524200
95485554228
102150541440
11a03a19683
12500266368
13283705838
1416588502c
15c8bec6e5
hex802ea880

2150541440 has 64 divisors (see below), whose sum is σ = 5151375360. Its totient is φ = 858504192.

The previous prime is 2150541439. The next prime is 2150541451. The reversal of 2150541440 is 441450512.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347009 + ... + 353151.

It is an arithmetic number, because the mean of its divisors is an integer number (80490240).

Almost surely, 22150541440 is an apocalyptic number.

2150541440 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 2150541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575687680).

2150541440 is an abundant number, since it is smaller than the sum of its proper divisors (3000833920).

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

2150541440 is an equidigital number, since it uses as much as digits as its factorization.

2150541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2150541440 is about 46373.9306076162. The cubic root of 2150541440 is about 1290.7712152255.

Adding to 2150541440 its reverse (441450512), we get a palindrome (2591991952).

The spelling of 2150541440 in words is "two billion, one hundred fifty million, five hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 547 640 1094 2188 2735 4376 5470 6143 8752 10940 12286 17504 21880 24572 30715 35008 43760 49144 61430 70016 87520 98288 122860 175040 196576 245720 350080 393152 491440 786304 982880 1965760 3360221 3931520 6720442 13440884 16801105 26881768 33602210 53763536 67204420 107527072 134408840 215054144 268817680 430108288 537635360 1075270720 2150541440