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152064 = 293311
BaseRepresentation
bin100101001000000000
321201121000
4211020000
514331224
63132000
71202223
oct451000
9251530
10152064
11a4280
1274000
13542a3
143d5ba
15300c9
hex25200

152064 has 80 divisors (see below), whose sum is σ = 491040. Its totient is φ = 46080.

The previous prime is 152063. The next prime is 152077. The reversal of 152064 is 460251.

It is a happy number.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (152063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13819 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2152064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

152064 is an abundant number, since it is smaller than the sum of its proper divisors (338976).

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

152064 is an equidigital number, since it uses as much as digits as its factorization.

152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152064 is about 389.9538434225. The cubic root of 152064 is about 53.3755221737.

152064 divided by its sum of digits (18) gives a palindrome (8448).

The spelling of 152064 in words is "one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064