Search a number
-
+
2152043520 = 210351147271
BaseRepresentation
bin1000000001000101…
…1001010000000000
312112222110010201120
42000101121100000
513401410343040
6553313432240
7104221032234
oct20021312000
95488403646
102152043520
11a04855170
1250086b680
13283b10443
14165b565c4
15c8de77d0
hex80459400

2152043520 has 352 divisors, whose sum is σ = 7696982016. Its totient is φ = 508723200.

The previous prime is 2152043419. The next prime is 2152043521. The reversal of 2152043520 is 253402512.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152043521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7940985 + ... + 7941255.

Almost surely, 22152043520 is an apocalyptic number.

2152043520 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 2152043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848491008).

2152043520 is an abundant number, since it is smaller than the sum of its proper divisors (5544938496).

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

2152043520 is a wasteful number, since it uses less digits than its factorization.

2152043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2152043520 is about 46390.1230867089. The cubic root of 2152043520 is about 1291.0716652053.

The spelling of 2152043520 in words is "two billion, one hundred fifty-two million, forty-three thousand, five hundred twenty".