Search a number
-
+
1315502000 = 24531315021
BaseRepresentation
bin100111001101000…
…1111011110110000
310101200100102111022
41032122033132300
510143232031000
6334311435012
744412403541
oct11632173660
93350312438
101315502000
1161562613a
12308685a68
1317c704c67
14c69d84c8
157a753585
hex4e68f7b0

1315502000 has 80 divisors (see below), whose sum is σ = 3205803744. Its totient is φ = 522080000.

The previous prime is 1315501981. The next prime is 1315502039. The reversal of 1315502000 is 2055131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1315502000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259490 + ... + 264510.

Almost surely, 21315502000 is an apocalyptic number.

1315502000 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 1315502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602901872).

1315502000 is an abundant number, since it is smaller than the sum of its proper divisors (1890301744).

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

1315502000 is a wasteful number, since it uses less digits than its factorization.

1315502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1315502000 is about 36269.8497377643. The cubic root of 1315502000 is about 1095.7138996065.

Adding to 1315502000 its reverse (2055131), we get a palindrome (1317557131).

The spelling of 1315502000 in words is "one billion, three hundred fifteen million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5021 5240 6550 10042 10480 13100 16375 20084 25105 26200 32750 40168 50210 52400 65500 80336 100420 125525 131000 200840 251050 262000 401680 502100 627625 657751 1004200 1255250 1315502 2008400 2510500 2631004 3288755 5021000 5262008 6577510 10042000 10524016 13155020 16443775 26310040 32887550 52620080 65775100 82218875 131550200 164437750 263100400 328875500 657751000 1315502000