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1968992 = 25371663
BaseRepresentation
bin111100000101101100000
310201000221122
413200231200
51001001432
6110111412
722510334
oct7405540
93630848
101968992
111125373
127ab568
1353c2ac
143937c4
1528d612
hex1e0b60

1968992 has 24 divisors (see below), whose sum is σ = 3983616. Its totient is φ = 957312.

The previous prime is 1968983. The next prime is 1968997. The reversal of 1968992 is 2998691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968997) 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, 353 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

21968992 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 1968992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808).

1968992 is an abundant number, since it is smaller than the sum of its proper divisors (2014624).

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

1968992 is a wasteful number, since it uses less digits than its factorization.

1968992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its digits is 69984, while the sum is 44.

The square root of 1968992 is about 1403.2077536844. The cubic root of 1968992 is about 125.3375834784.

The spelling of 1968992 in words is "one million, nine hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1663 3326 6652 13304 26608 53216 61531 123062 246124 492248 984496 1968992