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1399073760 = 253257138797
BaseRepresentation
bin101001101100100…
…0010101111100000
310121111121022101200
41103121002233200
510331130330020
6350455001200
746445634150
oct12331025740
93544538350
101399073760
11658816907
12330669200
13193b15cc6
14d3b50760
1582c60590
hex53642be0

1399073760 has 144 divisors (see below), whose sum is σ = 5456426976. Its totient is φ = 319785984.

The previous prime is 1399073737. The next prime is 1399073761. The reversal of 1399073760 is 673709931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399073761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59319 + ... + 79478.

It is an arithmetic number, because the mean of its divisors is an integer number (37891854).

Almost surely, 21399073760 is an apocalyptic number.

1399073760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1399073760 is an abundant number, since it is smaller than the sum of its proper divisors (4057353216).

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

1399073760 is a wasteful number, since it uses less digits than its factorization.

1399073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138825 (or 138814 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 1399073760 is about 37404.1944172041. The cubic root of 1399073760 is about 1118.4421794526.

The spelling of 1399073760 in words is "one billion, three hundred ninety-nine million, seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 138797 277594 416391 555188 693985 832782 971579 1110376 1249173 1387970 1665564 1943158 2081955 2220752 2498346 2775940 2914737 3331128 3886316 4163910 4441504 4857895 4996692 5551880 5829474 6245865 6662256 7772632 8327820 8744211 9715790 9993384 11103760 11658948 12491730 13324512 14573685 15545264 16655640 17488422 19431580 19986768 22207520 23317896 24983460 29147370 31090528 33311280 34976844 38863160 39973536 43721055 46635792 49966920 58294740 66622560 69953688 77726320 87442110 93271584 99933840 116589480 139907376 155452640 174884220 199867680 233178960 279814752 349768440 466357920 699536880 1399073760