Search a number
-
+
1016328 = 233174753
BaseRepresentation
bin11111000001000001000
31220122010210
43320020020
5230010303
633441120
711432025
oct3701010
91818123
101016328
11634645
124101a0
132977a1
141c654c
15151203
hexf8208

1016328 has 64 divisors (see below), whose sum is σ = 2799360. Its totient is φ = 306176.

The previous prime is 1016303. The next prime is 1016339. The reversal of 1016328 is 8236101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19150 + ... + 19202.

It is an arithmetic number, because the mean of its divisors is an integer number (43740).

21016328 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 1016328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399680).

1016328 is an abundant number, since it is smaller than the sum of its proper divisors (1783032).

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

1016328 is a wasteful number, since it uses less digits than its factorization.

1016328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1016328 is about 1008.1309438758. The cubic root of 1016328 is about 100.5413309866.

The spelling of 1016328 in words is "one million, sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 53 68 94 102 106 136 141 159 188 204 212 282 318 376 408 424 564 636 799 901 1128 1272 1598 1802 2397 2491 2703 3196 3604 4794 4982 5406 6392 7208 7473 9588 9964 10812 14946 19176 19928 21624 29892 42347 59784 84694 127041 169388 254082 338776 508164 1016328