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1387144 = 231121433
BaseRepresentation
bin101010010101010001000
32121110210201
411102222020
5323342034
645421544
714535103
oct5225210
92543721
101387144
11868200
1256a8b4
133974c5
1428173a
151c6014
hex152a88

1387144 has 24 divisors (see below), whose sum is σ = 2860830. Its totient is φ = 630080.

The previous prime is 1387129. The next prime is 1387147. The reversal of 1387144 is 4417831.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 407044 = 990^2 + 638^2 .

It is not an unprimeable number, because it can be changed into a prime (1387147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252 + ... + 1684.

21387144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430415).

1387144 is an abundant number, since it is smaller than the sum of its proper divisors (1473686).

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

1387144 is a wasteful number, since it uses less digits than its factorization.

1387144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 1387144 is about 1177.7707756605. The cubic root of 1387144 is about 111.5254153222.

The spelling of 1387144 in words is "one million, three hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1433 2866 5732 11464 15763 31526 63052 126104 173393 346786 693572 1387144