Search a number
-
+
1379742 = 237213192
BaseRepresentation
bin101010000110110011110
32121002122120
411100312132
5323122432
645323410
714504400
oct5206636
92532576
101379742
11862691
12566566
13394020
1427cb70
151c3c2c
hex150d9e

1379742 has 72 divisors (see below), whose sum is σ = 3648456. Its totient is φ = 344736.

The previous prime is 1379699. The next prime is 1379753. The reversal of 1379742 is 2479731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72609 + ... + 72627.

It is an arithmetic number, because the mean of its divisors is an integer number (50673).

21379742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824228).

1379742 is an abundant number, since it is smaller than the sum of its proper divisors (2268714).

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

1379742 is a wasteful number, since it uses less digits than its factorization.

1379742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 1379742 is about 1174.6241952216. The cubic root of 1379742 is about 111.3266895370.

The spelling of 1379742 in words is "one million, three hundred seventy-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 147 182 247 266 273 294 361 399 494 546 637 722 741 798 931 1083 1274 1482 1729 1862 1911 2166 2527 2793 3458 3822 4693 5054 5187 5586 7581 9386 10374 12103 14079 15162 17689 24206 28158 32851 35378 36309 53067 65702 72618 98553 106134 197106 229957 459914 689871 1379742