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2968530 = 235531867
BaseRepresentation
bin1011010100101111010010
312120211001120
423110233102
51224443110
6143343110
734142415
oct13245722
95524046
102968530
111748334
12bb1a96
137cc236
14573b7c
153d9870
hex2d4bd2

2968530 has 32 divisors (see below), whose sum is σ = 7262784. Its totient is φ = 776256.

The previous prime is 2968519. The next prime is 2968531. The reversal of 2968530 is 358692.

It is a happy number.

It is the 53-rd Perrin number.

It is a junction number, because it is equal to n+sod(n) for n = 2968491 and 2968500.

It is not an unprimeable number, because it can be changed into a prime (2968531) 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, 657 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (226962).

22968530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631392).

2968530 is an abundant number, since it is smaller than the sum of its proper divisors (4294254).

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

2968530 is a wasteful number, since it uses less digits than its factorization.

2968530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2968530 is about 1722.9422509185. The cubic root of 2968530 is about 143.7188766898.

The spelling of 2968530 in words is "two million, nine hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 1867 3734 5601 9335 11202 18670 28005 56010 98951 197902 296853 494755 593706 989510 1484265 2968530