Search a number
-
+
150040 = 23511231
BaseRepresentation
bin100100101000011000
321121211001
4210220120
514300130
63114344
71163302
oct445030
9247731
10150040
11a2800
12729b4
13533a7
143c972
152e6ca
hex24a18

150040 has 48 divisors (see below), whose sum is σ = 383040. Its totient is φ = 52800.

The previous prime is 150011. The next prime is 150041. The reversal of 150040 is 40051.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 149999 and 150026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4825 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2150040 is an apocalyptic number.

150040 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 150040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

150040 is an abundant number, since it is smaller than the sum of its proper divisors (233000).

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

150040 is a wasteful number, since it uses less digits than its factorization.

150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 150040 is about 387.3499709565. The cubic root of 150040 is about 53.1376509664.

Adding to 150040 its reverse (40051), we get a palindrome (190091).

It can be divided in two parts, 1500 and 40, that added together give a triangular number (1540 = T55).

The spelling of 150040 in words is "one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 75020 150040