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1375136 = 2572877
BaseRepresentation
bin101001111101110100000
32120212022222
411033232200
5323001021
645250212
714455100
oct5175640
92525288
101375136
1185a184
12563968
13391bb9
1427b200
151c26ab
hex14fba0

1375136 has 36 divisors (see below), whose sum is σ = 3152898. Its totient is φ = 588672.

The previous prime is 1375133. The next prime is 1375141. The reversal of 1375136 is 6315731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 414736 = 980^2 + 644^2 .

It is not an unprimeable number, because it can be changed into a prime (1375133) 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 5 ways as a sum of consecutive naturals, for example, 1130 + ... + 2006.

21375136 is an apocalyptic number.

1375136 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 1375136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576449).

1375136 is an abundant number, since it is smaller than the sum of its proper divisors (1777762).

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

1375136 is an equidigital number, since it uses as much as digits as its factorization.

1375136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 1375136 is about 1172.6619291168. The cubic root of 1375136 is about 111.2026706051.

The spelling of 1375136 in words is "one million, three hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 877 1568 1754 3508 6139 7016 12278 14032 24556 28064 42973 49112 85946 98224 171892 196448 343784 687568 1375136