Search a number
-
+
1304100 = 223452723
BaseRepresentation
bin100111110011000100100
32110020220000
410332120210
5313212400
643541300
714041020
oct4763044
92406800
101304100
11810876
1252a830
13368775
1425d380
151ab600
hex13e624

1304100 has 180 divisors, whose sum is σ = 5041344. Its totient is φ = 285120.

The previous prime is 1304089. The next prime is 1304111. The reversal of 1304100 is 14031.

It is an interprime number because it is at equal distance from previous prime (1304089) and next prime (1304111).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56689 + ... + 56711.

21304100 is an apocalyptic number.

1304100 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 1304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520672).

1304100 is an abundant number, since it is smaller than the sum of its proper divisors (3737244).

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

1304100 is a wasteful number, since it uses less digits than its factorization.

1304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1304100 is about 1141.9719786405. The cubic root of 1304100 is about 109.2539040718.

Adding to 1304100 its reverse (14031), we get a palindrome (1318131).

The spelling of 1304100 in words is "one million, three hundred four thousand, one hundred".