Search a number
-
+
1399008 = 253131959
BaseRepresentation
bin101010101100011100000
32122002002010
411111203200
5324232013
645552520
714614512
oct5254340
92562063
101399008
11876106
12575740
1339ca20
14285bb2
151c97c3
hex1558e0

1399008 has 96 divisors (see below), whose sum is σ = 4233600. Its totient is φ = 400896.

The previous prime is 1399003. The next prime is 1399009. The reversal of 1399008 is 8009931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23683 + ... + 23741.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

21399008 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 1399008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116800).

1399008 is an abundant number, since it is smaller than the sum of its proper divisors (2834592).

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

1399008 is a wasteful number, since it uses less digits than its factorization.

1399008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1399008 is about 1182.7966858256. The cubic root of 1399008 is about 111.8424655976.

The spelling of 1399008 in words is "one million, three hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 59 76 78 96 104 114 118 152 156 177 208 228 236 247 304 312 354 416 456 472 494 608 624 708 741 767 912 944 988 1121 1248 1416 1482 1534 1824 1888 1976 2242 2301 2832 2964 3068 3363 3952 4484 4602 5664 5928 6136 6726 7904 8968 9204 11856 12272 13452 14573 17936 18408 23712 24544 26904 29146 35872 36816 43719 53808 58292 73632 87438 107616 116584 174876 233168 349752 466336 699504 1399008