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1396395520 = 2951341959
BaseRepresentation
bin101001100111011…
…0100111000000000
310121022120020112121
41103032310320000
510324434124040
6350321334024
746414110652
oct12316647000
93538506477
101396395520
11657257693
1232b797314
131933b8c50
14d36546d2
15828d1c4a
hex533b4e00

1396395520 has 80 divisors (see below), whose sum is σ = 3605706720. Its totient is φ = 515579904.

The previous prime is 1396395491. The next prime is 1396395541. The reversal of 1396395520 is 255936931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12301 + ... + 54259.

It is an arithmetic number, because the mean of its divisors is an integer number (45071334).

Almost surely, 21396395520 is an apocalyptic number.

1396395520 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 1396395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802853360).

1396395520 is an abundant number, since it is smaller than the sum of its proper divisors (2209311200).

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

1396395520 is an equidigital number, since it uses as much as digits as its factorization.

1396395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41995 (or 41979 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 1396395520 is about 37368.3759347393. The cubic root of 1396395520 is about 1117.7280474558.

The spelling of 1396395520 in words is "one billion, three hundred ninety-six million, three hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 41959 83918 167836 209795 335672 419590 545467 671344 839180 1090934 1342688 1678360 2181868 2685376 2727335 3356720 4363736 5370752 5454670 6713440 8727472 10741504 10909340 13426880 17454944 21483008 21818680 26853760 34909888 43637360 53707520 69819776 87274720 107415040 139639552 174549440 279279104 349098880 698197760 1396395520