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150540 = 223513193
BaseRepresentation
bin100100110000001100
321122111120
4210300030
514304130
63120540
71164615
oct446014
9248446
10150540
11a3115
1273150
13536a0
143cc0c
152e910
hex24c0c

150540 has 48 divisors (see below), whose sum is σ = 456288. Its totient is φ = 36864.

The previous prime is 150533. The next prime is 150551. The reversal of 150540 is 45051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

150540 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 15 ways as a sum of consecutive naturals, for example, 684 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (9506).

2150540 is an apocalyptic number.

150540 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 150540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228144).

150540 is an abundant number, since it is smaller than the sum of its proper divisors (305748).

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

150540 is a wasteful number, since it uses less digits than its factorization.

150540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 150540 is about 387.9948453266. The cubic root of 150540 is about 53.1966116145.

Adding to 150540 its reverse (45051), we get a palindrome (195591).

The spelling of 150540 in words is "one hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 193 195 260 386 390 579 772 780 965 1158 1930 2316 2509 2895 3860 5018 5790 7527 10036 11580 12545 15054 25090 30108 37635 50180 75270 150540