Search a number
-
+
2052960 = 253571347
BaseRepresentation
bin111110101001101100000
310212022010120
413311031200
51011143320
6112000240
723310210
oct7651540
93768116
102052960
111182468
12830080
1356b590
143b6240
152a8440
hex1f5360

2052960 has 192 divisors, whose sum is σ = 8128512. Its totient is φ = 423936.

The previous prime is 2052959. The next prime is 2052977. The reversal of 2052960 is 692502.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2052960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43657 + ... + 43703.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

22052960 is an apocalyptic number.

2052960 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 2052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

2052960 is an abundant number, since it is smaller than the sum of its proper divisors (6075552).

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

2052960 is a wasteful number, since it uses less digits than its factorization.

2052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2052960 is about 1432.8154103024. The cubic root of 2052960 is about 127.0945211566.

The spelling of 2052960 in words is "two million, fifty-two thousand, nine hundred sixty".