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2489940 = 223452953
BaseRepresentation
bin1001011111111001010100
311200111120000
421133321110
51114134230
6125211300
730110205
oct11377124
94614500
102489940
111450802
12a00b30
1369244b
1448b5ac
15342b60
hex25fe54

2489940 has 120 divisors (see below), whose sum is σ = 8232840. Its totient is φ = 628992.

The previous prime is 2489933. The next prime is 2489947. The reversal of 2489940 is 499842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2489933) and next prime (2489947).

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 2022084 = 684^2 + 1422^2 .

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 = 2489895 and 2489904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2489947) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 46954 + ... + 47006.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

22489940 is an apocalyptic number.

2489940 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 2489940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116420).

2489940 is an abundant number, since it is smaller than the sum of its proper divisors (5742900).

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

2489940 is a wasteful number, since it uses less digits than its factorization.

2489940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2489940 is about 1577.9543719639. The cubic root of 2489940 is about 135.5385891553.

The spelling of 2489940 in words is "two million, four hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 53 54 58 60 81 87 90 106 108 116 135 145 159 162 174 180 212 261 265 270 290 318 324 348 405 435 477 522 530 540 580 636 783 795 810 870 954 1044 1060 1305 1431 1537 1566 1590 1620 1740 1908 2349 2385 2610 2862 3074 3132 3180 3915 4293 4611 4698 4770 5220 5724 6148 7155 7685 7830 8586 9222 9396 9540 11745 13833 14310 15370 15660 17172 18444 21465 23055 23490 27666 28620 30740 41499 42930 46110 46980 55332 69165 82998 85860 92220 124497 138330 165996 207495 248994 276660 414990 497988 622485 829980 1244970 2489940