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1395000320 = 2105738923
BaseRepresentation
bin101001100100110…
…0000010000000000
310121012221100200112
41103021200100000
510324110002240
6350231410452
746366210220
oct12311402000
93535840615
101395000320
1165649442a
1232b223a28
1319301ab9c
14d33b0080
1582708665
hex53260400

1395000320 has 88 divisors (see below), whose sum is σ = 3824516544. Its totient is φ = 478273536.

The previous prime is 1395000319. The next prime is 1395000337. The reversal of 1395000320 is 230005931.

It is a happy number.

1395000320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 16379 + ... + 55301.

Almost surely, 21395000320 is an apocalyptic number.

1395000320 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 1395000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912258272).

1395000320 is an abundant number, since it is smaller than the sum of its proper divisors (2429516224).

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

1395000320 is an equidigital number, since it uses as much as digits as its factorization.

1395000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38955 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 1395000320 is about 37349.7030778024. The cubic root of 1395000320 is about 1117.3556663715.

The spelling of 1395000320 in words is "one billion, three hundred ninety-five million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 38923 77846 155692 194615 272461 311384 389230 544922 622768 778460 1089844 1245536 1362305 1556920 2179688 2491072 2724610 3113840 4359376 4982144 5449220 6227680 8718752 9964288 10898440 12455360 17437504 19928576 21796880 24910720 34875008 39857152 43593760 49821440 69750016 87187520 99642880 139500032 174375040 199285760 279000064 348750080 697500160 1395000320