Search a number
-
+
612096 = 283797
BaseRepresentation
bin10010101011100000000
31011002122020
42111130000
5124041341
621041440
75126352
oct2253400
91132566
10612096
11388971
12256280
131857b4
1411d0d2
15c1566
hex95700

612096 has 36 divisors (see below), whose sum is σ = 1631112. Its totient is φ = 203776.

The previous prime is 612083. The next prime is 612107. The reversal of 612096 is 690216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 1166.

2612096 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 612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815556).

612096 is an abundant number, since it is smaller than the sum of its proper divisors (1019016).

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

612096 is an equidigital number, since it uses as much as digits as its factorization.

612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 612096 is about 782.3656434174. The cubic root of 612096 is about 84.9062865679.

It can be divided in two parts, 6120 and 96, that added together give a triangular number (6216 = T111).

The spelling of 612096 in words is "six hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 797 1594 2391 3188 4782 6376 9564 12752 19128 25504 38256 51008 76512 102016 153024 204032 306048 612096