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150930 = 23351343
BaseRepresentation
bin100100110110010010
321200001000
4210312102
514312210
63122430
71166013
oct446622
9250030
10150930
11a343a
1273416
1353910
143d00a
152eac0
hex24d92

150930 has 64 divisors (see below), whose sum is σ = 443520. Its totient is φ = 36288.

The previous prime is 150929. The next prime is 150959. The reversal of 150930 is 39051.

150930 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150930.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489 + ... + 3531.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2150930 is an apocalyptic number.

150930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

150930 is an abundant number, since it is smaller than the sum of its proper divisors (292590).

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

150930 is a wasteful number, since it uses less digits than its factorization.

150930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 150930 is about 388.4971042363. The cubic root of 150930 is about 53.2425103531.

150930 divided by its sum of digits (18) gives a triangular number (8385 = T129).

Adding to 150930 its reverse (39051), we get a palindrome (189981).

The spelling of 150930 in words is "one hundred fifty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 50310 75465 150930