Search a number
-
+
1359844864 = 297267809
BaseRepresentation
bin101000100001101…
…1001011000000000
310111202210021110121
41101003121120000
510241110013424
6342534110024
745461330200
oct12103313000
93452707417
101359844864
11638662634
1231b4ab314
1318895c441
14cc85c400
157e5b1ee4
hex510d9600

1359844864 has 120 divisors (see below), whose sum is σ = 3211769880. Its totient is φ = 573382656.

The previous prime is 1359844861. The next prime is 1359844873. The reversal of 1359844864 is 4684489531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359844861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680492 + ... + 1681300.

It is an arithmetic number, because the mean of its divisors is an integer number (26764749).

Almost surely, 21359844864 is an apocalyptic number.

1359844864 is a gapful number since it is divisible by the number (14) 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 1359844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605884940).

1359844864 is an abundant number, since it is smaller than the sum of its proper divisors (1851925016).

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

1359844864 is an frugal number, since it uses more digits than its factorization.

1359844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 885 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 1359844864 is about 36876.0744114663. The cubic root of 1359844864 is about 1107.8895222772.

The spelling of 1359844864 in words is "one billion, three hundred fifty-nine million, eight hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 98 112 128 134 196 224 256 268 392 448 469 512 536 784 809 896 938 1072 1568 1618 1792 1876 2144 3136 3236 3283 3584 3752 4288 5663 6272 6472 6566 7504 8576 11326 12544 12944 13132 15008 17152 22652 25088 25888 26264 30016 34304 39641 45304 51776 52528 54203 60032 79282 90608 103552 105056 108406 120064 158564 181216 207104 210112 216812 240128 317128 362432 379421 414208 420224 433624 634256 724864 758842 840448 867248 1268512 1449728 1517684 1680896 1734496 2537024 2655947 2899456 3035368 3468992 5074048 5311894 6070736 6937984 10148096 10623788 12141472 13875968 20296192 21247576 24282944 27751936 42495152 48565888 84990304 97131776 169980608 194263552 339961216 679922432 1359844864