Search a number
-
+
152900 = 225211139
BaseRepresentation
bin100101010101000100
321202201222
4211111010
514343100
63135512
71204526
oct452504
9252658
10152900
11a4970
1274598
1354797
143da16
1530485
hex25544

152900 has 36 divisors (see below), whose sum is σ = 364560. Its totient is φ = 55200.

The previous prime is 152899. The next prime is 152909. The reversal of 152900 is 9251.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (152909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031 + ... + 1169.

2152900 is an apocalyptic number.

152900 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 152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

152900 is an abundant number, since it is smaller than the sum of its proper divisors (211660).

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

152900 is a wasteful number, since it uses less digits than its factorization.

152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 152900 is about 391.0242959203. The cubic root of 152900 is about 53.4731574082.

The spelling of 152900 in words is "one hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 152900