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1338240 = 27351741
BaseRepresentation
bin101000110101110000000
32111222201110
411012232000
5320310430
644403320
714242401
oct5065600
92458643
101338240
11834492
12546540
1337b177
1426b9a8
151b67b0
hex146b80

1338240 has 128 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 327680.

The previous prime is 1338229. The next prime is 1338241. The reversal of 1338240 is 428331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32620 + ... + 32660.

21338240 is an apocalyptic number.

1338240 is a gapful number since it is divisible by the number (10) 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 1338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

1338240 is an abundant number, since it is smaller than the sum of its proper divisors (3288480).

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

1338240 is a wasteful number, since it uses less digits than its factorization.

1338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1338240 is about 1156.8232362812. The cubic root of 1338240 is about 110.1990884891.

Subtracting from 1338240 its reverse (428331), we obtain a palindrome (909909).

The spelling of 1338240 in words is "one million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 41 48 51 60 64 68 80 82 85 96 102 120 123 128 136 160 164 170 192 204 205 240 246 255 272 320 328 340 384 408 410 480 492 510 544 615 640 656 680 697 816 820 960 984 1020 1088 1230 1312 1360 1394 1632 1640 1920 1968 2040 2091 2176 2460 2624 2720 2788 3264 3280 3485 3936 4080 4182 4920 5248 5440 5576 6528 6560 6970 7872 8160 8364 9840 10455 10880 11152 13120 13940 15744 16320 16728 19680 20910 22304 26240 27880 32640 33456 39360 41820 44608 55760 66912 78720 83640 89216 111520 133824 167280 223040 267648 334560 446080 669120 1338240