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2120155040 = 25561217229
BaseRepresentation
bin111111001011110…
…1111111110100000
312110202110000221202
41332113233332200
513320224430130
6550214140332
7103353010013
oct17627577640
95422400852
102120155040
11998854953
124b20516a8
1327a326a13
1416181537a
15c61e9145
hex7e5effa0

2120155040 has 48 divisors (see below), whose sum is σ = 5091002280. Its totient is φ = 834155520.

The previous prime is 2120155039. The next prime is 2120155049. The reversal of 2120155040 is 405510212.

2120155040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 474716944 + 1645438096 = 21788^2 + 40564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2120155049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98855 + ... + 118374.

Almost surely, 22120155040 is an apocalyptic number.

2120155040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120155040 is an abundant number, since it is smaller than the sum of its proper divisors (2970847240).

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

2120155040 is a wasteful number, since it uses less digits than its factorization.

2120155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217305 (or 217297 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2120155040 is about 46045.1413289176. The cubic root of 2120155040 is about 1284.6629728756.

Adding to 2120155040 its reverse (405510212), we get a palindrome (2525665252).

The spelling of 2120155040 in words is "two billion, one hundred twenty million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 217229 434458 868916 1086145 1737832 2172290 3475664 4344580 6951328 8689160 13250969 17378320 26501938 34756640 53003876 66254845 106007752 132509690 212015504 265019380 424031008 530038760 1060077520 2120155040