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1239321616 = 241326772
BaseRepresentation
bin100100111011110…
…1000110000010000
310012101000001122121
41021313220300100
510014231242431
6322550544024
742466026361
oct11167506020
93171001577
101239321616
11586623745
122a7068014
131699b1300
14ba847b68
1573c06611
hex49de8c10

1239321616 has 45 divisors (see below), whose sum is σ = 2603946711. Its totient is φ = 571149696.

The previous prime is 1239321599. The next prime is 1239321617. The reversal of 1239321616 is 6161239321.

The square root of 1239321616 is 35204.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 121088016 + 1118233600 = 11004^2 + 33440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1239321617) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1830270 + ... + 1830946.

Almost surely, 21239321616 is an apocalyptic number.

1239321616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1239321616 is the 35204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1239321616

1239321616 is an abundant number, since it is smaller than the sum of its proper divisors (1364625095).

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

1239321616 is an frugal number, since it uses more digits than its factorization.

1239321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 692 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The cubic root of 1239321616 is about 1074.1411177558.

Multiplying 1239321616 by its product of digits (11664), we get a square (14455447329024 = 38020322).

The spelling of 1239321616 in words is "one billion, two hundred thirty-nine million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 677 1352 1354 2704 2708 5416 8801 10832 17602 35204 70408 114413 140816 228826 457652 458329 915304 916658 1830608 1833316 3666632 5958277 7333264 11916554 23833108 47666216 77457601 95332432 154915202 309830404 619660808 1239321616