Search a number
-
+
2906460 = 2232567241
BaseRepresentation
bin1011000101100101011100
312110122220200
423011211130
51221001320
6142143500
733463434
oct13054534
95418820
102906460
111705737
12b81b90
137a9bcb
145592c4
153c6290
hex2c595c

2906460 has 72 divisors (see below), whose sum is σ = 8984976. Its totient is φ = 760320.

The previous prime is 2906459. The next prime is 2906471. The reversal of 2906460 is 646092.

2906460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11940 + ... + 12180.

22906460 is an apocalyptic number.

2906460 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 2906460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492488).

2906460 is an abundant number, since it is smaller than the sum of its proper divisors (6078516).

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

2906460 is a wasteful number, since it uses less digits than its factorization.

2906460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2906460 is about 1704.8343027990. The cubic root of 2906460 is about 142.7101239882.

The spelling of 2906460 in words is "two million, nine hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 241 268 335 402 482 603 670 723 804 964 1005 1205 1206 1340 1446 2010 2169 2410 2412 2892 3015 3615 4020 4338 4820 6030 7230 8676 10845 12060 14460 16147 21690 32294 43380 48441 64588 80735 96882 145323 161470 193764 242205 290646 322940 484410 581292 726615 968820 1453230 2906460