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1399835040 = 25352916323
BaseRepresentation
bin101001101101111…
…1100100110100000
310121120000222200020
41103123330212200
510331324210130
6350523153440
746455254502
oct12333744640
93546028606
101399835040
1165919686a
12330975880
13194021676
14d3cabd72
1582d60e10
hex536fc9a0

1399835040 has 48 divisors (see below), whose sum is σ = 4409481888. Its totient is φ = 373289216.

The previous prime is 1399835027. The next prime is 1399835069. The reversal of 1399835040 is 405389931.

1399835040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1399834983 and 1399835001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1457682 + ... + 1458641.

It is an arithmetic number, because the mean of its divisors is an integer number (91864206).

Almost surely, 21399835040 is an apocalyptic number.

1399835040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1399835040 is an abundant number, since it is smaller than the sum of its proper divisors (3009646848).

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

1399835040 is a wasteful number, since it uses less digits than its factorization.

1399835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916341 (or 2916333 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1399835040 is about 37414.3694320778. The cubic root of 1399835040 is about 1118.6450025156.

The spelling of 1399835040 in words is "one billion, three hundred ninety-nine million, eight hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2916323 5832646 8748969 11665292 14581615 17497938 23330584 29163230 34995876 43744845 46661168 58326460 69991752 87489690 93322336 116652920 139983504 174979380 233305840 279967008 349958760 466611680 699917520 1399835040