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152028 = 223241103
BaseRepresentation
bin100101000111011100
321201112200
4211013130
514331103
63131500
71202142
oct450734
9251480
10152028
11a4248
1273b90
1354276
143d592
15300a3
hex251dc

152028 has 36 divisors (see below), whose sum is σ = 397488. Its totient is φ = 48960.

The previous prime is 152027. The next prime is 152029. The reversal of 152028 is 820251.

152028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152027) and next prime (152029).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1520282 = 46225025568, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152027) 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, 1425 + ... + 1527.

2152028 is an apocalyptic number.

152028 is a gapful number since it is divisible by the number (18) 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 152028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198744).

152028 is an abundant number, since it is smaller than the sum of its proper divisors (245460).

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

152028 is a wasteful number, since it uses less digits than its factorization.

152028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152028 is about 389.9076813811. The cubic root of 152028 is about 53.3713097577.

Adding to 152028 its reverse (820251), we get a palindrome (972279).

The spelling of 152028 in words is "one hundred fifty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 103 123 164 206 246 309 369 412 492 618 738 927 1236 1476 1854 3708 4223 8446 12669 16892 25338 38007 50676 76014 152028