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9013440 = 263541229
BaseRepresentation
bin100010011000…
…100011000000
3121221221010010
4202120203000
54301412230
6521104520
7136420152
oct42304300
917857103
109013440
1150a6a27
123028140
131b377c7
1412a8ad2
15bd09b0
hex8988c0

9013440 has 112 divisors (see below), whose sum is σ = 29443680. Its totient is φ = 2334720.

The previous prime is 9013439. The next prime is 9013441. The reversal of 9013440 is 443109.

9013440 is digitally balanced in base 5, because in such base 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 (9013439) and next prime (9013441).

It is not an unprimeable number, because it can be changed into a prime (9013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39246 + ... + 39474.

It is an arithmetic number, because the mean of its divisors is an integer number (262890).

Almost surely, 29013440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721840).

9013440 is an abundant number, since it is smaller than the sum of its proper divisors (20430240).

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

9013440 is a wasteful number, since it uses less digits than its factorization.

9013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 9013440 is about 3002.2391643572. The cubic root of 9013440 is about 208.1118727573. Note that the first 3 decimals are identical.

Adding to 9013440 its reverse (443109), we get a palindrome (9456549).

It can be divided in two parts, 9013 and 440, that added together give a triangular number (9453 = T137).

The spelling of 9013440 in words is "nine million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 229 240 246 320 328 410 458 480 492 615 656 687 820 916 960 984 1145 1230 1312 1374 1640 1832 1968 2290 2460 2624 2748 3280 3435 3664 3936 4580 4920 5496 6560 6870 7328 7872 9160 9389 9840 10992 13120 13740 14656 18320 18778 19680 21984 27480 28167 36640 37556 39360 43968 46945 54960 56334 73280 75112 93890 109920 112668 140835 150224 187780 219840 225336 281670 300448 375560 450672 563340 600896 751120 901344 1126680 1502240 1802688 2253360 3004480 4506720 9013440