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2438640 = 243351129
BaseRepresentation
bin1001010011010111110000
311120220012000
421103113300
51111014030
6124134000
726504511
oct11232760
94526160
102438640
111416206
12997300
13674ca9
14476a08
15332860
hex2535f0

2438640 has 80 divisors (see below), whose sum is σ = 8407200. Its totient is φ = 649728.

The previous prime is 2438629. The next prime is 2438671. The reversal of 2438640 is 468342.

2438640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 1596 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (105090).

22438640 is an apocalyptic number.

2438640 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 2438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203600).

2438640 is an abundant number, since it is smaller than the sum of its proper divisors (5968560).

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

2438640 is a wasteful number, since it uses less digits than its factorization.

2438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2438640 is about 1561.6145491126. The cubic root of 2438640 is about 134.6012927583.

The spelling of 2438640 in words is "two million, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1129 2160 2258 3387 4516 5645 6774 9032 10161 11290 13548 16935 18064 20322 22580 27096 30483 33870 40644 45160 50805 54192 60966 67740 81288 90320 101610 121932 135480 152415 162576 203220 243864 270960 304830 406440 487728 609660 812880 1219320 2438640