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1530072 = 233279269
BaseRepresentation
bin101110101100011011000
32212201212100
411311203120
5342430242
652443400
716001565
oct5654330
92781770
101530072
11955625
12619560
1341758b
142bb86c
1520354c
hex1758d8

1530072 has 48 divisors (see below), whose sum is σ = 4212000. Its totient is φ = 501696.

The previous prime is 1530071. The next prime is 1530073. The reversal of 1530072 is 2700351.

It is an interprime number because it is at equal distance from previous prime (1530071) and next prime (1530073).

It is a super-2 number, since 2×15300722 = 4682240650368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5554 + ... + 5822.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

21530072 is an apocalyptic number.

1530072 is a gapful number since it is divisible by the number (12) 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 1530072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106000).

1530072 is an abundant number, since it is smaller than the sum of its proper divisors (2681928).

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

1530072 is a wasteful number, since it uses less digits than its factorization.

1530072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1530072 is about 1236.9607916179. The cubic root of 1530072 is about 115.2313427449.

The spelling of 1530072 in words is "one million, five hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 269 316 474 538 632 711 807 948 1076 1422 1614 1896 2152 2421 2844 3228 4842 5688 6456 9684 19368 21251 42502 63753 85004 127506 170008 191259 255012 382518 510024 765036 1530072