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2930660 = 225232277
BaseRepresentation
bin1011001011011111100100
312111220002222
423023133210
51222240120
6142451512
733624125
oct13133744
95456088
102930660
111721937
12b93b98
137b7c25
1456404c
153cd525
hex2cb7e4

2930660 has 36 divisors (see below), whose sum is σ = 6456828. Its totient is φ = 1117248.

The previous prime is 2930657. The next prime is 2930689. The reversal of 2930660 is 660392.

It can be written as a sum of positive squares in 2 ways, for example, as 763876 + 2166784 = 874^2 + 1472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10442 + ... + 10718.

22930660 is an apocalyptic number.

2930660 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 2930660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228414).

2930660 is an abundant number, since it is smaller than the sum of its proper divisors (3526168).

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

2930660 is a wasteful number, since it uses less digits than its factorization.

2930660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2930660 is about 1711.9170540654. The cubic root of 2930660 is about 143.1051112375.

The spelling of 2930660 in words is "two million, nine hundred thirty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 529 554 1058 1108 1385 2116 2645 2770 5290 5540 6371 10580 12742 25484 31855 63710 127420 146533 293066 586132 732665 1465330 2930660