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152500 = 225461
BaseRepresentation
bin100101001110110100
321202012011
4211032310
514340000
63134004
71203415
oct451664
9252164
10152500
11a4637
1274304
135454a
143d80c
15302ba
hex253b4

152500 has 30 divisors (see below), whose sum is σ = 338954. Its totient is φ = 60000.

The previous prime is 152461. The next prime is 152501. The reversal of 152500 is 5251.

152500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 104976 + 47524 = 324^2 + 218^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2470 + ... + 2530.

2152500 is an apocalyptic number.

152500 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 152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169477).

152500 is an abundant number, since it is smaller than the sum of its proper divisors (186454).

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

152500 is an equidigital number, since it uses as much as digits as its factorization.

152500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 152500 is about 390.5124837953. The cubic root of 152500 is about 53.4264865074.

Adding to 152500 its reverse (5251), we get a palindrome (157751).

The spelling of 152500 in words is "one hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 625 1220 1250 1525 2500 3050 6100 7625 15250 30500 38125 76250 152500