Base | Representation |
---|---|
bin | 1001011000111111… |
… | …1110011011001100 |
3 | 20111200021101201012 |
4 | 2112033332123030 |
5 | 20130304122002 |
6 | 1054044504352 |
7 | 116316123260 |
oct | 22617763314 |
9 | 6450241635 |
10 | 2520770252 |
11 | 1083a00000 |
12 | 5a424b0b8 |
13 | 312322340 |
14 | 19cada0a0 |
15 | eb47ed52 |
hex | 963fe6cc |
2520770252 has 144 divisors (see below), whose sum is σ = 6111173376. Its totient is φ = 885487680.
The previous prime is 2520770233. The next prime is 2520770257.
2520770252 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2520770257) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58622543 + ... + 58622585.
It is an arithmetic number, because the mean of its divisors is an integer number (42438704).
Almost surely, 22520770252 is an apocalyptic number.
2520770252 is a gapful number since it is divisible by the number (22) 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 2520770252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055586688).
2520770252 is an abundant number, since it is smaller than the sum of its proper divisors (3590403124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2520770252 is an equidigital number, since it uses as much as digits as its factorization.
2520770252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 19600, while the sum is 32.
The square root of 2520770252 is about 50207.2728994515. The cubic root of 2520770252 is about 1360.9570563040.
It can be divided in two parts, 25207 and 70252, that added together give a palindrome (95459).
The spelling of 2520770252 in words is "two billion, five hundred twenty million, seven hundred seventy thousand, two hundred fifty-two".
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