Search a number
-
+
1310000028 = 2231375771381
BaseRepresentation
bin100111000010101…
…0000001110011100
310101021222220012120
41032011100032130
510140330000103
6333553502540
744314550031
oct11605201634
93337886176
101310000028
11612508457
12306871a50
1317b52985c
14c5da5388
157a018253
hex4e15039c

1310000028 has 48 divisors (see below), whose sum is σ = 3086547744. Its totient is φ = 432414720.

The previous prime is 1310000017. The next prime is 1310000051. The reversal of 1310000028 is 8200000131.

It is a happy number.

It is a super-2 number, since 2×13100000282 = 3432200146720001568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1309999971 and 1310000016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947898 + ... + 949278.

It is an arithmetic number, because the mean of its divisors is an integer number (64303078).

Almost surely, 21310000028 is an apocalyptic number.

It is an amenable number.

1310000028 is an abundant number, since it is smaller than the sum of its proper divisors (1776547716).

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

1310000028 is a wasteful number, since it uses less digits than its factorization.

1310000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1310000028 is about 36193.9225285130. The cubic root of 1310000028 is about 1094.1841891592.

Adding to 1310000028 its reverse (8200000131), we get a palindrome (9510000159).

The spelling of 1310000028 in words is "one billion, three hundred ten million, twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 137 274 411 548 577 822 1154 1381 1644 1731 2308 2762 3462 4143 5524 6924 8286 16572 79049 158098 189197 237147 316196 378394 474294 567591 756788 796837 948588 1135182 1593674 2270364 2390511 3187348 4781022 9562044 109166669 218333338 327500007 436666676 655000014 1310000028