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1011968 = 285967
BaseRepresentation
bin11110111000100000000
31220102011022
43313010000
5224340333
633405012
711413226
oct3670400
91812138
101011968
11631341
12409768
132957c9
141c4b16
1514ec98
hexf7100

1011968 has 36 divisors (see below), whose sum is σ = 2084880. Its totient is φ = 489984.

The previous prime is 1011961. The next prime is 1011973. The reversal of 1011968 is 8691101.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1011961) 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, 15071 + ... + 15137.

21011968 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 1011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042440).

1011968 is an abundant number, since it is smaller than the sum of its proper divisors (1072912).

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

1011968 is an frugal number, since it uses more digits than its factorization.

1011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 1011968 is about 1005.9662022156. The cubic root of 1011968 is about 100.3973523532.

The spelling of 1011968 in words is "one million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 67 118 128 134 236 256 268 472 536 944 1072 1888 2144 3776 3953 4288 7552 7906 8576 15104 15812 17152 31624 63248 126496 252992 505984 1011968