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2930564 = 227138397
BaseRepresentation
bin1011001011011110000100
312111212222102
423023132010
51222234224
6142451232
733623630
oct13133604
95455872
102930564
11172185a
12b93b18
137b7b80
14563dc0
153cd4ae
hex2cb784

2930564 has 48 divisors (see below), whose sum is σ = 6453888. Its totient is φ = 1133568.

The previous prime is 2930563. The next prime is 2930593. The reversal of 2930564 is 4650392.

2930564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30164 + ... + 30260.

It is an arithmetic number, because the mean of its divisors is an integer number (134456).

22930564 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 2930564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226944).

2930564 is an abundant number, since it is smaller than the sum of its proper divisors (3523324).

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

2930564 is a wasteful number, since it uses less digits than its factorization.

2930564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2930564 is about 1711.8890150941. The cubic root of 2930564 is about 143.1035486497.

The spelling of 2930564 in words is "two million, nine hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 97 166 182 194 332 364 388 581 679 1079 1162 1261 1358 2158 2324 2522 2716 4316 5044 7553 8051 8827 15106 16102 17654 30212 32204 35308 56357 104663 112714 209326 225428 418652 732641 1465282 2930564