Search a number
-
+
1399104 = 26327347
BaseRepresentation
bin101010101100101000000
32122002012200
411111211000
5324232404
645553200
714615010
oct5254500
92562180
101399104
11876193
12575800
1339ca95
14285c40
151c9839
hex155940

1399104 has 84 divisors (see below), whose sum is σ = 4596384. Its totient is φ = 398592.

The previous prime is 1399063. The next prime is 1399109. The reversal of 1399104 is 4019931.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3859 + ... + 4205.

21399104 is an apocalyptic number.

1399104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298192).

1399104 is an abundant number, since it is smaller than the sum of its proper divisors (3197280).

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

1399104 is a wasteful number, since it uses less digits than its factorization.

1399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1399104 is about 1182.8372669138. The cubic root of 1399104 is about 111.8450237510.

The spelling of 1399104 in words is "one million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 347 448 504 576 672 694 1008 1041 1344 1388 2016 2082 2429 2776 3123 4032 4164 4858 5552 6246 7287 8328 9716 11104 12492 14574 16656 19432 21861 22208 24984 29148 33312 38864 43722 49968 58296 66624 77728 87444 99936 116592 155456 174888 199872 233184 349776 466368 699552 1399104