Search a number
-
+
1325545000 = 23541320393
BaseRepresentation
bin100111100000010…
…0011011000101000
310102101020122220021
41033000203120220
510203314420000
6335311010224
744563642453
oct11700433050
93371218807
101325545000
1162026563a
1230bb09974
13181810270
14c809049a
157b58911a
hex4f023628

1325545000 has 80 divisors (see below), whose sum is σ = 3344819940. Its totient is φ = 489408000.

The previous prime is 1325544977. The next prime is 1325545009. The reversal of 1325545000 is 5455231.

It can be written as a sum of positive squares in 10 ways, for example, as 260305956 + 1065239044 = 16134^2 + 32638^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1325545009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54804 + ... + 75196.

Almost surely, 21325545000 is an apocalyptic number.

1325545000 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 1325545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672409970).

1325545000 is an abundant number, since it is smaller than the sum of its proper divisors (2019274940).

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

1325545000 is a wasteful number, since it uses less digits than its factorization.

1325545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 1325545000 is about 36408.0348274938. The cubic root of 1325545000 is about 1098.4951875172.

The spelling of 1325545000 in words is "one billion, three hundred twenty-five million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 20393 32500 40786 65000 81572 101965 163144 203930 265109 407860 509825 530218 815720 1019650 1060436 1325545 2039300 2120872 2549125 2651090 4078600 5098250 5302180 6627725 10196500 10604360 12745625 13255450 20393000 25491250 26510900 33138625 50982500 53021800 66277250 101965000 132554500 165693125 265109000 331386250 662772500 1325545000