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2620116 = 223273997
BaseRepresentation
bin1001111111101011010100
311221010010100
421333223110
51132320431
6132054100
731161552
oct11775324
94833110
102620116
11152a594
12a64330
13709785
144c2bd2
1536b4e6
hex27fad4

2620116 has 36 divisors (see below), whose sum is σ = 6720532. Its totient is φ = 860544.

The previous prime is 2620099. The next prime is 2620129. The reversal of 2620116 is 6110262.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 715716 = 1380^2 + 846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 3126.

22620116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2620116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360266).

2620116 is an abundant number, since it is smaller than the sum of its proper divisors (4100416).

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

2620116 is a wasteful number, since it uses less digits than its factorization.

2620116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2620116 is about 1618.6772377469. The cubic root of 2620116 is about 137.8606027801.

Adding to 2620116 its reverse (6110262), we get a palindrome (8730378).

The spelling of 2620116 in words is "two million, six hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 997 1314 1994 2628 2991 3988 5982 8973 11964 17946 35892 72781 145562 218343 291124 436686 655029 873372 1310058 2620116