Search a number
-
+
150096 = 2435359
BaseRepresentation
bin100100101001010000
321121220010
4210221100
514300341
63114520
71163412
oct445120
9247803
10150096
11a2851
1272a40
135341b
143c9b2
152e716
hex24a50

150096 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 48256.

The previous prime is 150091. The next prime is 150097. The reversal of 150096 is 690051.

150096 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150091) by changing a digit.

150096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2515 + ... + 2573.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2150096 is an apocalyptic number.

150096 is a gapful number since it is divisible by the number (16) 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 150096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

150096 is an abundant number, since it is smaller than the sum of its proper divisors (251664).

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

150096 is a wasteful number, since it uses less digits than its factorization.

150096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 150096 is about 387.4222502645. The cubic root of 150096 is about 53.1442610666.

It can be divided in two parts, 1500 and 96, that added together give a triangular number (1596 = T56).

The spelling of 150096 in words is "one hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 59 106 118 159 177 212 236 318 354 424 472 636 708 848 944 1272 1416 2544 2832 3127 6254 9381 12508 18762 25016 37524 50032 75048 150096