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2966940 = 2232553311
BaseRepresentation
bin1011010100010110011100
312120201212200
423110112130
51224420230
6143331500
734134654
oct13242634
95521780
102966940
111747119
12bb0b90
137cb5b2
14573364
153d9160
hex2d459c

2966940 has 72 divisors (see below), whose sum is σ = 9199008. Its totient is φ = 773760.

The previous prime is 2966923. The next prime is 2966963. The reversal of 2966940 is 496692.

2966940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2966895 and 2966904.

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, 9385 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22966940 is an apocalyptic number.

2966940 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 2966940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504).

2966940 is an abundant number, since it is smaller than the sum of its proper divisors (6232068).

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

2966940 is a wasteful number, since it uses less digits than its factorization.

2966940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2966940 is about 1722.4807691234. The cubic root of 2966940 is about 143.6932126042.

The spelling of 2966940 in words is "two million, nine hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 311 318 477 530 622 636 795 933 954 1060 1244 1555 1590 1866 1908 2385 2799 3110 3180 3732 4665 4770 5598 6220 9330 9540 11196 13995 16483 18660 27990 32966 49449 55980 65932 82415 98898 148347 164830 197796 247245 296694 329660 494490 593388 741735 988980 1483470 2966940