Search a number
-
+
2078144 = 26191709
BaseRepresentation
bin111111011010111000000
310220120200022
413323113000
51013000034
6112313012
723443505
oct7732700
93816608
102078144
11119a382
12842768
13579b93
143c14ac
152b0b2e
hex1fb5c0

2078144 has 28 divisors (see below), whose sum is σ = 4343400. Its totient is φ = 983808.

The previous prime is 2078123. The next prime is 2078149. The reversal of 2078144 is 4418702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 2070.

22078144 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 2078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171700).

2078144 is an abundant number, since it is smaller than the sum of its proper divisors (2265256).

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

2078144 is a wasteful number, since it uses less digits than its factorization.

2078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2078144 is about 1441.5769143546. The cubic root of 2078144 is about 127.6121069608.

It can be divided in two parts, 2078 and 144, that added together give a palindrome (2222).

The spelling of 2078144 in words is "two million, seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1709 3418 6836 13672 27344 32471 54688 64942 109376 129884 259768 519536 1039072 2078144