Search a number
-
+
2795520 = 21135713
BaseRepresentation
bin1010101010100000000000
312021000201210
422222200000
51203424040
6135530120
732522130
oct12524000
95230653
102795520
11163a352
12b29940
1376b570
1452aac0
153a3480
hex2aa800

2795520 has 192 divisors, whose sum is σ = 11007360. Its totient is φ = 589824.

The previous prime is 2795501. The next prime is 2795521. The reversal of 2795520 is 255972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×27955203 = 65540396704333824000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2795521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215034 + ... + 215046.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

22795520 is an apocalyptic number.

2795520 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 2795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

2795520 is an abundant number, since it is smaller than the sum of its proper divisors (8211840).

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

2795520 is a wasteful number, since it uses less digits than its factorization.

2795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2795520 is about 1671.9808611345. The cubic root of 2795520 is about 140.8707633278.

The spelling of 2795520 in words is "two million, seven hundred ninety-five thousand, five hundred twenty".