Search a number
-
+
2120200320 = 27357732161
BaseRepresentation
bin111111001011111…
…1011000010000000
312110202112100001210
41332113323002000
513320232402240
6550215130120
7103353256020
oct17627730200
95422470053
102120200320
11998885977
124b2073940
1327a341504
14161827a80
15c6207780
hex7e5fb080

2120200320 has 256 divisors, whose sum is σ = 7833012480. Its totient is φ = 477757440.

The previous prime is 2120200231. The next prime is 2120200333. The reversal of 2120200320 is 230020212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120200296 and 2120200305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980040 + ... + 982200.

It is an arithmetic number, because the mean of its divisors is an integer number (30597705).

Almost surely, 22120200320 is an apocalyptic number.

2120200320 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 2120200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916506240).

2120200320 is an abundant number, since it is smaller than the sum of its proper divisors (5712812160).

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

2120200320 is a wasteful number, since it uses less digits than its factorization.

2120200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120200320 is about 46045.6330176924. The cubic root of 2120200320 is about 1284.6721182956.

Adding to 2120200320 its reverse (230020212), we get a palindrome (2350220532).

The spelling of 2120200320 in words is "two billion, one hundred twenty million, two hundred thousand, three hundred twenty".