Search a number
-
+
1325315000 = 2354733631
BaseRepresentation
bin100111011111110…
…1011001110111000
310102100210222101202
41032333223032320
510203240040000
6335302033332
744561664062
oct11677531670
93370728352
101325315000
11620118859
1230ba18848
1318175c679
14c8030732
157b540dd5
hex4efeb3b8

1325315000 has 80 divisors (see below), whose sum is σ = 3148617120. Its totient is φ = 522720000.

The previous prime is 1325314973. The next prime is 1325315023. The reversal of 1325315000 is 5135231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 363185 + ... + 366815.

It is an arithmetic number, because the mean of its divisors is an integer number (39357714).

Almost surely, 21325315000 is an apocalyptic number.

1325315000 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 1325315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574308560).

1325315000 is an abundant number, since it is smaller than the sum of its proper divisors (1823302120).

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

1325315000 is an equidigital number, since it uses as much as digits as its factorization.

1325315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1325315000 is about 36404.8760470352. The cubic root of 1325315000 is about 1098.4316492474.

The spelling of 1325315000 in words is "one billion, three hundred twenty-five million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 625 730 1000 1250 1460 1825 2500 2920 3631 3650 5000 7262 7300 9125 14524 14600 18155 18250 29048 36310 36500 45625 72620 73000 90775 91250 145240 181550 182500 265063 363100 365000 453875 530126 726200 907750 1060252 1325315 1815500 2120504 2269375 2650630 3631000 4538750 5301260 6626575 9077500 10602520 13253150 18155000 26506300 33132875 53012600 66265750 132531500 165664375 265063000 331328750 662657500 1325315000