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1314060500 = 225310126021
BaseRepresentation
bin100111001010010…
…1111100011010100
310101120122012010102
41032110233203110
510142344414000
6334220513232
744364221114
oct11624574324
93346565112
101314060500
11614831115
123080ab818
1317c31babc
14c6741044
157a56b3d5
hex4e52f8d4

1314060500 has 48 divisors (see below), whose sum is σ = 2898434448. Its totient is φ = 520400000.

The previous prime is 1314060493. The next prime is 1314060563. The reversal of 1314060500 is 50604131.

It can be written as a sum of positive squares in 8 ways, for example, as 432964 + 1313627536 = 658^2 + 36244^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 37490 + ... + 63510.

It is an arithmetic number, because the mean of its divisors is an integer number (60384051).

Almost surely, 21314060500 is an apocalyptic number.

1314060500 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 1314060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449217224).

1314060500 is an abundant number, since it is smaller than the sum of its proper divisors (1584373948).

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

1314060500 is a wasteful number, since it uses less digits than its factorization.

1314060500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26141 (or 26129 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1314060500 is about 36249.9724137826. The cubic root of 1314060500 is about 1095.3135330911.

Adding to 1314060500 its reverse (50604131), we get a palindrome (1364664631).

The spelling of 1314060500 in words is "one billion, three hundred fourteen million, sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 2020 2525 5050 10100 12625 25250 26021 50500 52042 104084 130105 260210 520420 650525 1301050 2602100 2628121 3252625 5256242 6505250 10512484 13010500 13140605 26281210 52562420 65703025 131406050 262812100 328515125 657030250 1314060500