Search a number
-
+
1390506728 = 231353347727
BaseRepresentation
bin101001011100001…
…0111001011101000
310120220111001122012
41102320113023220
510321432203403
6345551215052
746313053322
oct12270271350
93526431565
101390506728
116539a5316
12329817488
13192106760
14d2960612
158211bed8
hex52e172e8

1390506728 has 64 divisors (see below), whose sum is σ = 2872920960. Its totient is φ = 626985216.

The previous prime is 1390506727. The next prime is 1390506751. The reversal of 1390506728 is 8276050931.

It is a super-2 number, since 2×13905067282 = 3867017921226531968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1390506727) 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, 1912301 + ... + 1913027.

It is an arithmetic number, because the mean of its divisors is an integer number (44889390).

Almost surely, 21390506728 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 1390506728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436460480).

1390506728 is an abundant number, since it is smaller than the sum of its proper divisors (1482414232).

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

1390506728 is a wasteful number, since it uses less digits than its factorization.

1390506728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 1390506728 is about 37289.4988971426. The cubic root of 1390506728 is about 1116.1546292937.

The spelling of 1390506728 in words is "one billion, three hundred ninety million, five hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 347 424 689 694 727 1378 1388 1454 2756 2776 2908 4511 5512 5816 9022 9451 18044 18391 18902 36088 36782 37804 38531 73564 75608 77062 147128 154124 239083 252269 308248 478166 500903 504538 956332 1001806 1009076 1912664 2003612 2018152 3279497 4007224 6558994 13117988 13370257 26235976 26740514 53481028 106962056 173813341 347626682 695253364 1390506728