Search a number
-
+
192032128 = 2712711813
BaseRepresentation
bin10110111001000…
…10110110000000
3111101100020120001
423130202312000
5343130012003
631015525344
74521150301
oct1334426600
9441306501
10192032128
1199440642
1254389854
1330a276a2
141b70a7a8
1511cd361d
hexb722d80

192032128 has 32 divisors (see below), whose sum is σ = 385608960. Its totient is φ = 95251968.

The previous prime is 192032123. The next prime is 192032143. The reversal of 192032128 is 821230291.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 192032096 and 192032105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192032123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10350 + ... + 22162.

It is an arithmetic number, because the mean of its divisors is an integer number (12050280).

Almost surely, 2192032128 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 192032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192804480).

192032128 is an abundant number, since it is smaller than the sum of its proper divisors (193576832).

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

192032128 is a wasteful number, since it uses less digits than its factorization.

192032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 192032128 is about 13857.5657313974. The cubic root of 192032128 is about 576.9320045187.

The spelling of 192032128 in words is "one hundred ninety-two million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 2032 4064 8128 11813 16256 23626 47252 94504 189008 378016 756032 1500251 1512064 3000502 6001004 12002008 24004016 48008032 96016064 192032128