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30150 = 2325267
BaseRepresentation
bin111010111000110
31112100200
413113012
51431100
6351330
7153621
oct72706
945320
1030150
112071a
1215546
1310953
14adb8
158e00
hex75c6

30150 has 36 divisors (see below), whose sum is σ = 82212. Its totient is φ = 7920.

The previous prime is 30139. The next prime is 30161. The reversal of 30150 is 5103.

It is an interprime number because it is at equal distance from previous prime (30139) and next prime (30161).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 417 + ... + 483.

230150 is an apocalyptic number.

30150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41106).

30150 is an abundant number, since it is smaller than the sum of its proper divisors (52062).

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

30150 is a wasteful number, since it uses less digits than its factorization.

30150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 30150 is about 173.6375535419. The cubic root of 30150 is about 31.1240261949.

Subtracting from 30150 its product of nonzero digits (15), we obtain a triangular number (30135 = T245).

Adding to 30150 its reverse (5103), we get a palindrome (35253).

It can be divided in two parts, 301 and 50, that added together give a triangular number (351 = T26).

The spelling of 30150 in words is "thirty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 67 75 90 134 150 201 225 335 402 450 603 670 1005 1206 1675 2010 3015 3350 5025 6030 10050 15075 30150