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1051272 = 233331157
BaseRepresentation
bin100000000101010001000
31222102002000
410000222020
5232120042
634311000
711635635
oct4005210
91872060
101051272
11658922
12428460
132aa671
141d518c
1515b74c
hex100a88

1051272 has 64 divisors (see below), whose sum is σ = 3033600. Its totient is φ = 336960.

The previous prime is 1051247. The next prime is 1051277. The reversal of 1051272 is 2721501.

It is a super-2 number, since 2×10512722 = 2210345635968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1051277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6618 + ... + 6774.

It is an arithmetic number, because the mean of its divisors is an integer number (47400).

21051272 is an apocalyptic number.

1051272 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 1051272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516800).

1051272 is an abundant number, since it is smaller than the sum of its proper divisors (1982328).

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

1051272 is a wasteful number, since it uses less digits than its factorization.

1051272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1051272 is about 1025.3155611810. The cubic root of 1051272 is about 101.6806621719.

Adding to 1051272 its reverse (2721501), we get a palindrome (3772773).

The spelling of 1051272 in words is "one million, fifty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 157 186 216 248 279 314 372 471 558 628 744 837 942 1116 1256 1413 1674 1884 2232 2826 3348 3768 4239 4867 5652 6696 8478 9734 11304 14601 16956 19468 29202 33912 38936 43803 58404 87606 116808 131409 175212 262818 350424 525636 1051272