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1399968 = 25324861
BaseRepresentation
bin101010101110010100000
32122010101200
411111302200
5324244333
650001200
714620353
oct5256240
92563350
101399968
118768a9
12576200
133a02ab
1428629a
151c9c13
hex155ca0

1399968 has 36 divisors (see below), whose sum is σ = 3981978. Its totient is φ = 466560.

The previous prime is 1399963. The next prime is 1399999. The reversal of 1399968 is 8699931.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 501264 = 948^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1399963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2143 + ... + 2718.

21399968 is an apocalyptic number.

1399968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1399968 is an abundant number, since it is smaller than the sum of its proper divisors (2582010).

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

1399968 is a wasteful number, since it uses less digits than its factorization.

1399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4866 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1399968 is about 1183.2024340746. The cubic root of 1399968 is about 111.8680418672.

The spelling of 1399968 in words is "one million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4861 9722 14583 19444 29166 38888 43749 58332 77776 87498 116664 155552 174996 233328 349992 466656 699984 1399968