Search a number
-
+
1379300 = 2252131061
BaseRepresentation
bin101010000101111100100
32121002001012
411100233210
5323114200
645321352
714503166
oct5205744
92532035
101379300
1186231a
12566258
13393a70
1427c936
151c3a35
hex150be4

1379300 has 36 divisors (see below), whose sum is σ = 3226356. Its totient is φ = 508800.

The previous prime is 1379291. The next prime is 1379321. The reversal of 1379300 is 39731.

It can be written as a sum of positive squares in 6 ways, for example, as 88804 + 1290496 = 298^2 + 1136^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770 + ... + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (89621).

21379300 is an apocalyptic number.

1379300 is a gapful number since it is divisible by the number (10) 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 1379300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613178).

1379300 is an abundant number, since it is smaller than the sum of its proper divisors (1847056).

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

1379300 is a wasteful number, since it uses less digits than its factorization.

1379300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 1379300 is about 1174.4360348695. The cubic root of 1379300 is about 111.3148004418.

The spelling of 1379300 in words is "one million, three hundred seventy-nine thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1061 1300 2122 4244 5305 10610 13793 21220 26525 27586 53050 55172 68965 106100 137930 275860 344825 689650 1379300