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152000 = 265319
BaseRepresentation
bin100101000111000000
321201111122
4211013000
514331000
63131412
71202102
oct450700
9251448
10152000
11a4222
1273b68
1354254
143d572
1530085
hex251c0

152000 has 56 divisors (see below), whose sum is σ = 396240. Its totient is φ = 57600.

The previous prime is 151969. The next prime is 152003. The reversal of 152000 is 251.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152003) by changing a digit.

152000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7991 + ... + 8009.

2152000 is an apocalyptic number.

152000 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 152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120).

152000 is an abundant number, since it is smaller than the sum of its proper divisors (244240).

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

152000 is an equidigital number, since it uses as much as digits as its factorization.

152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 152000 is about 389.8717737924. The cubic root of 152000 is about 53.3680329744.

Adding to 152000 its reverse (251), we get a palindrome (152251).

The spelling of 152000 in words is "one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9500 15200 19000 30400 38000 76000 152000