[go: up one dir, main page]

Search a number
-
+
5378660 = 2257103373
BaseRepresentation
bin10100100001001001100100
3101010021010122
4110201021210
52334104120
6311141112
763501140
oct24411144
911107118
105378660
113044081
121974798
131164251
14a00220
15713a25
hex521264

5378660 has 48 divisors (see below), whose sum is σ = 13069056. Its totient is φ = 1821312.

The previous prime is 5378657. The next prime is 5378669. The reversal of 5378660 is 668735.

It is a happy number.

5378660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5378660.

It is not an unprimeable number, because it can be changed into a prime (5378669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14234 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (272272).

Almost surely, 25378660 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 5378660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534528).

5378660 is an abundant number, since it is smaller than the sum of its proper divisors (7690396).

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

5378660 is a wasteful number, since it uses less digits than its factorization.

5378660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5378660 is about 2319.1938254488. The cubic root of 5378660 is about 175.2096534925.

The spelling of 5378660 in words is "five million, three hundred seventy-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 373 412 515 721 746 1030 1442 1492 1865 2060 2611 2884 3605 3730 5222 7210 7460 10444 13055 14420 26110 38419 52220 76838 153676 192095 268933 384190 537866 768380 1075732 1344665 2689330 5378660