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1399325040 = 2432510318869
BaseRepresentation
bin101001101101000…
…0000000101110000
310121112002002002100
41103122000011300
510331211400130
6350504220400
746451031561
oct12332000560
93545062070
101399325040
11658978683
1233076a700
13193ba34a9
14d3bb8168
1582caec60
hex53680170

1399325040 has 120 divisors (see below), whose sum is σ = 4745276640. Its totient is φ = 369510912.

The previous prime is 1399325033. The next prime is 1399325041. The reversal of 1399325040 is 405239931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13993250402 = 3916221135142003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1399324986 and 1399325004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399325041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64726 + ... + 83594.

It is an arithmetic number, because the mean of its divisors is an integer number (39543972).

Almost surely, 21399325040 is an apocalyptic number.

1399325040 is a gapful number since it is divisible by the number (10) 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 1399325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372638320).

1399325040 is an abundant number, since it is smaller than the sum of its proper divisors (3345951600).

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

1399325040 is a wasteful number, since it uses less digits than its factorization.

1399325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18991 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1399325040 is about 37407.5532479739. The cubic root of 1399325040 is about 1118.5091345423.

The spelling of 1399325040 in words is "one billion, three hundred ninety-nine million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 720 824 927 1030 1236 1545 1648 1854 2060 2472 3090 3708 4120 4635 4944 6180 7416 8240 9270 12360 14832 18540 18869 24720 37080 37738 56607 74160 75476 94345 113214 150952 169821 188690 226428 283035 301904 339642 377380 452856 566070 679284 754760 849105 905712 1132140 1358568 1509520 1698210 1943507 2264280 2717136 3396420 3887014 4528560 5830521 6792840 7774028 9717535 11661042 13585680 15548056 17491563 19435070 23322084 29152605 31096112 34983126 38870140 46644168 58305210 69966252 77740280 87457815 93288336 116610420 139932504 155480560 174915630 233220840 279865008 349831260 466441680 699662520 1399325040