Search a number
-
+
1406144 = 26127173
BaseRepresentation
bin101010111010011000000
32122102212102
411113103000
5324444034
650045532
714644355
oct5272300
92572772
101406144
11880503
125798a8
133a304c
1428862c
151cb97e
hex1574c0

1406144 has 28 divisors (see below), whose sum is σ = 2828544. Its totient is φ = 693504.

The previous prime is 1406101. The next prime is 1406159. The reversal of 1406144 is 4416041.

It is a happy number.

1406144 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8042 + ... + 8214.

21406144 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 1406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414272).

1406144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1406144 is a wasteful number, since it uses less digits than its factorization.

1406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1406144 is about 1185.8094281966. The cubic root of 1406144 is about 112.0323036071.

The spelling of 1406144 in words is "one million, four hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 173 254 346 508 692 1016 1384 2032 2768 4064 5536 8128 11072 21971 43942 87884 175768 351536 703072 1406144