Search a number
-
+
60096 = 263313
BaseRepresentation
bin1110101011000000
310001102210
432223000
53410341
61142120
7340131
oct165300
9101383
1060096
1141173
122a940
132147a
1417c88
1512c16
hexeac0

60096 has 28 divisors (see below), whose sum is σ = 159512. Its totient is φ = 19968.

The previous prime is 60091. The next prime is 60101. The reversal of 60096 is 69006.

It is an interprime number because it is at equal distance from previous prime (60091) and next prime (60101).

It is a super-2 number, since 2×600962 = 7223058432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60091) by changing a digit.

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, 36 + ... + 348.

260096 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 60096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79756).

60096 is an abundant number, since it is smaller than the sum of its proper divisors (99416).

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

60096 is a wasteful number, since it uses less digits than its factorization.

60096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 60096 is about 245.1448551367. The cubic root of 60096 is about 39.1695445800.

It can be divided in two parts, 600 and 96, that multiplied together give a square (57600 = 2402).

The spelling of 60096 in words is "sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 626 939 1252 1878 2504 3756 5008 7512 10016 15024 20032 30048 60096