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1401312 = 253111327
BaseRepresentation
bin101010110000111100000
32122012020110
411112013200
5324320222
650011320
714624313
oct5260740
92565213
101401312
11877910
12576b40
133a0aa3
1428697a
151ca30c
hex1561e0

1401312 has 48 divisors (see below), whose sum is σ = 4015872. Its totient is φ = 424320.

The previous prime is 1401287. The next prime is 1401317. The reversal of 1401312 is 2131041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (83664).

21401312 is an apocalyptic number.

1401312 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 1401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007936).

1401312 is an abundant number, since it is smaller than the sum of its proper divisors (2614560).

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

1401312 is a wasteful number, since it uses less digits than its factorization.

1401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1401312 is about 1183.7702479789. The cubic root of 1401312 is about 111.9038290092.

Adding to 1401312 its reverse (2131041), we get a palindrome (3532353).

The spelling of 1401312 in words is "one million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1327 2654 3981 5308 7962 10616 14597 15924 21232 29194 31848 42464 43791 58388 63696 87582 116776 127392 175164 233552 350328 467104 700656 1401312