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1023968 = 25112909
BaseRepresentation
bin11111001111111100000
31221000121202
43321333200
5230231333
633540332
711463221
oct3717740
91830552
101023968
1163a360
124146a8
1329b0ca
141c9248
151535e8
hexf9fe0

1023968 has 24 divisors (see below), whose sum is σ = 2199960. Its totient is φ = 465280.

The previous prime is 1023949. The next prime is 1023973. The reversal of 1023968 is 8693201.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1023968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (91665).

21023968 is an apocalyptic number.

It is an amenable number.

1023968 is an abundant number, since it is smaller than the sum of its proper divisors (1175992).

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

1023968 is a wasteful number, since it uses less digits than its factorization.

1023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1023968 is about 1011.9130397421. The cubic root of 1023968 is about 100.7926340464.

It can be divided in two parts, 1023 and 968, that added together give a palindrome (1991).

The spelling of 1023968 in words is "one million, twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2909 5818 11636 23272 31999 46544 63998 93088 127996 255992 511984 1023968