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2912130 = 23251319131
BaseRepresentation
bin1011000110111110000010
312110221200200
423012332002
51221142010
6142230030
733516114
oct13067602
95427620
102912130
111709a21
12b85316
137ac670
1455b3b4
153c7cc0
hex2c6f82

2912130 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 673920.

The previous prime is 2912081. The next prime is 2912131. The reversal of 2912130 is 312192.

It is a happy number.

2912130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29121302 = 16961002273800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2912131) 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 47 ways as a sum of consecutive naturals, for example, 22165 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

22912130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2912130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2912130 is an abundant number, since it is smaller than the sum of its proper divisors (5736510).

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

2912130 is a wasteful number, since it uses less digits than its factorization.

2912130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2912130 is about 1706.4964107785. The cubic root of 2912130 is about 142.8028646178.

The spelling of 2912130 in words is "two million, nine hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 131 171 190 195 234 247 262 285 342 390 393 494 570 585 655 741 786 855 1170 1179 1235 1310 1482 1703 1710 1965 2223 2358 2470 2489 3406 3705 3930 4446 4978 5109 5895 7410 7467 8515 10218 11115 11790 12445 14934 15327 17030 22230 22401 24890 25545 30654 32357 37335 44802 51090 64714 74670 76635 97071 112005 153270 161785 194142 224010 291213 323570 485355 582426 970710 1456065 2912130