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2414940 = 2235113659
BaseRepresentation
bin1001001101100101011100
311112200200020
421031211130
51104234230
6123432140
726345433
oct11154534
94480606
102414940
1113aa420
12985650
13667278
1446c11a
1532a810
hex24d95c

2414940 has 48 divisors (see below), whose sum is σ = 7378560. Its totient is φ = 585280.

The previous prime is 2414933. The next prime is 2414947. The reversal of 2414940 is 494142.

2414940 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2414933) and next prime (2414947).

It is a self number, because there is not a number n which added to its sum of digits gives 2414940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414947) 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, 1170 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

22414940 is an apocalyptic number.

2414940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414940 is an abundant number, since it is smaller than the sum of its proper divisors (4963620).

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

2414940 is a wasteful number, since it uses less digits than its factorization.

2414940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2414940 is about 1554.0077219885. The cubic root of 2414940 is about 134.1638302106.

Subtracting from 2414940 its sum of digits (24), we obtain a square (2414916 = 15542).

The spelling of 2414940 in words is "two million, four hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3659 7318 10977 14636 18295 21954 36590 40249 43908 54885 73180 80498 109770 120747 160996 201245 219540 241494 402490 482988 603735 804980 1207470 2414940