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613104 = 24353241
BaseRepresentation
bin10010101101011110000
31011011000120
42111223300
5124104404
621050240
75132322
oct2255360
91134016
10613104
113896a8
12256980
131860ab
1411d612
15c19d9
hex95af0

613104 has 40 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 199680.

The previous prime is 613099. The next prime is 613141. The reversal of 613104 is 401316.

613104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2424 + ... + 2664.

2613104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

613104 is an abundant number, since it is smaller than the sum of its proper divisors (1007328).

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

613104 is a wasteful number, since it uses less digits than its factorization.

613104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 613104 is about 783.0095784855. The cubic root of 613104 is about 84.9528689118.

Subtracting from 613104 its sum of digits (15), we obtain a square (613089 = 7832).

It can be divided in two parts, 613 and 104, that added together give a palindrome (717).

The spelling of 613104 in words is "six hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 241 318 424 482 636 723 848 964 1272 1446 1928 2544 2892 3856 5784 11568 12773 25546 38319 51092 76638 102184 153276 204368 306552 613104