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1339320096 = 2534516713
BaseRepresentation
bin100111111010100…
…0110011100100000
310110100011111210000
41033311012130200
510220331220341
6340522140000
745122014212
oct11765063440
93410144700
101339320096
11628014014
12314651600
131846241ca
14c9c385b2
157c8aa8b6
hex4fd46720

1339320096 has 60 divisors (see below), whose sum is σ = 3938910822. Its totient is φ = 446439168.

The previous prime is 1339320091. The next prime is 1339320109. The reversal of 1339320096 is 6900239331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1132995600 + 206324496 = 33660^2 + 14364^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1339320096.

It is not an unprimeable number, because it can be changed into a prime (1339320091) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 255765 + ... + 260948.

Almost surely, 21339320096 is an apocalyptic number.

1339320096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1339320096 is an abundant number, since it is smaller than the sum of its proper divisors (2599590726).

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

1339320096 is an equidigital number, since it uses as much as digits as its factorization.

1339320096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516735 (or 516718 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1339320096 is about 36596.7224762000. The cubic root of 1339320096 is about 1102.2872781316.

It can be divided in two parts, 13393 and 20096, that added together give a square (33489 = 1832).

The spelling of 1339320096 in words is "one billion, three hundred thirty-nine million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 516713 1033426 1550139 2066852 3100278 4133704 4650417 6200556 8267408 9300834 12401112 13951251 16534816 18601668 24802224 27902502 37203336 41853753 49604448 55805004 74406672 83707506 111610008 148813344 167415012 223220016 334830024 446440032 669660048 1339320096