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1350240 = 25352997
BaseRepresentation
bin101001001101001100000
32112121011220
411021221200
5321201430
644535040
714322363
oct5115140
92477156
101350240
11842501
12551480
13383778
142720da
151ba110
hex149a60

1350240 has 96 divisors (see below), whose sum is σ = 4445280. Its totient is φ = 344064.

The previous prime is 1350229. The next prime is 1350247. The reversal of 1350240 is 420531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350247) 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, 13872 + ... + 13968.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

21350240 is an apocalyptic number.

1350240 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 1350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222640).

1350240 is an abundant number, since it is smaller than the sum of its proper divisors (3095040).

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

1350240 is a wasteful number, since it uses less digits than its factorization.

1350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1350240 is about 1161.9982788283. The cubic root of 1350240 is about 110.5274939605.

Adding to 1350240 its reverse (420531), we get a palindrome (1770771).

The spelling of 1350240 in words is "one million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 97 116 120 145 160 174 194 232 240 290 291 348 388 435 464 480 485 580 582 696 776 870 928 970 1160 1164 1392 1455 1552 1740 1940 2320 2328 2784 2813 2910 3104 3480 3880 4640 4656 5626 5820 6960 7760 8439 9312 11252 11640 13920 14065 15520 16878 22504 23280 28130 33756 42195 45008 46560 56260 67512 84390 90016 112520 135024 168780 225040 270048 337560 450080 675120 1350240