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1530240 = 2735797
BaseRepresentation
bin101110101100110000000
32212202002120
411311212000
5342431430
652444240
716002225
oct5654600
92782076
101530240
11955768
12619680
1341768a
142bb94c
15203610
hex175980

1530240 has 64 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 407552.

The previous prime is 1530233. The next prime is 1530281. The reversal of 1530240 is 420351.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522 + ... + 2318.

21530240 is an apocalyptic number.

1530240 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 1530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441880).

1530240 is an abundant number, since it is smaller than the sum of its proper divisors (3353520).

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

1530240 is an equidigital number, since it uses as much as digits as its factorization.

1530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

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

The square root of 1530240 is about 1237.0286981311. The cubic root of 1530240 is about 115.2355600098.

Adding to 1530240 its reverse (420351), we get a palindrome (1950591).

It can be divided in two parts, 1530 and 240, that added together give a triangular number (1770 = T59).

The spelling of 1530240 in words is "one million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 797 960 1594 1920 2391 3188 3985 4782 6376 7970 9564 11955 12752 15940 19128 23910 25504 31880 38256 47820 51008 63760 76512 95640 102016 127520 153024 191280 255040 306048 382560 510080 765120 1530240