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1350016 = 2753199
BaseRepresentation
bin101001001100110000000
32112120212121
411021212000
5321200031
644534024
714321623
oct5114600
92476777
101350016
11842318
12551314
13383635
14271dba
151ba011
hex149980

1350016 has 32 divisors (see below), whose sum is σ = 2754000. Its totient is φ = 658944.

The previous prime is 1350001. The next prime is 1350017. The reversal of 1350016 is 6100531.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350017) 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 3 ways as a sum of consecutive naturals, for example, 6685 + ... + 6883.

21350016 is an apocalyptic number.

1350016 is a gapful number since it is divisible by the number (16) 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 1350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377000).

1350016 is an abundant number, since it is smaller than the sum of its proper divisors (1403984).

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

1350016 is an equidigital number, since it uses as much as digits as its factorization.

1350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1350016 is about 1161.9018891456. The cubic root of 1350016 is about 110.5213815834.

Adding to 1350016 its reverse (6100531), we get a palindrome (7450547).

It can be divided in two parts, 13500 and 16, that multiplied together give a cube (216000 = 603).

The spelling of 1350016 in words is "one million, three hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 199 212 398 424 796 848 1592 1696 3184 3392 6368 6784 10547 12736 21094 25472 42188 84376 168752 337504 675008 1350016