Search a number
-
+
5377104 = 2436461
BaseRepresentation
bin10100100000110001010000
3101010012000000
4110200301100
52334031404
6311130000
763463455
oct24406120
911105000
105377104
113042997
121973900
131163625
149dd82c
15713339
hex520c50

5377104 has 70 divisors (see below), whose sum is σ = 15653946. Its totient is φ = 1788480.

The previous prime is 5377103. The next prime is 5377111. The reversal of 5377104 is 4017735.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 1166400 = 2052^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11434 + ... + 11894.

Almost surely, 25377104 is an apocalyptic number.

5377104 is a gapful number since it is divisible by the number (54) 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 5377104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826973).

5377104 is an abundant number, since it is smaller than the sum of its proper divisors (10276842).

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

5377104 is an equidigital number, since it uses as much as digits as its factorization.

5377104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5377104 is about 2318.8583397871. The cubic root of 5377104 is about 175.1927563153.

The spelling of 5377104 in words is "five million, three hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 461 486 648 729 922 972 1296 1383 1458 1844 1944 2766 2916 3688 3888 4149 5532 5832 7376 8298 11064 11664 12447 16596 22128 24894 33192 37341 49788 66384 74682 99576 112023 149364 199152 224046 298728 336069 448092 597456 672138 896184 1344276 1792368 2688552 5377104