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1358883968 = 2713839839
BaseRepresentation
bin101000011111110…
…1110110010000000
310111200222110100212
41100333232302000
510240333241333
6342501333252
745450215561
oct12077566200
93450873325
101358883968
11638066702
1231b107228
131886b3c70
14cc68c168
157e472448
hex50feec80

1358883968 has 64 divisors (see below), whose sum is σ = 2950819200. Its totient is φ = 619557888.

The previous prime is 1358883959. The next prime is 1358883983. The reversal of 1358883968 is 8693888531.

It is a tau number, because it is divible by the number of its divisors (64).

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, 133193 + ... + 143031.

It is an arithmetic number, because the mean of its divisors is an integer number (46106550).

Almost surely, 21358883968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475409600).

1358883968 is an abundant number, since it is smaller than the sum of its proper divisors (1591935232).

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

1358883968 is an equidigital number, since it uses as much as digits as its factorization.

1358883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9937 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 59.

The square root of 1358883968 is about 36863.0433903659. The cubic root of 1358883968 is about 1107.6285078322.

The spelling of 1358883968 in words is "one billion, three hundred fifty-eight million, eight hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 208 332 416 664 832 1079 1328 1664 2158 2656 4316 5312 8632 9839 10624 17264 19678 34528 39356 69056 78712 127907 138112 157424 255814 314848 511628 629696 816637 1023256 1259392 1633274 2046512 3266548 4093024 6533096 8186048 10616281 13066192 16372096 21232562 26132384 42465124 52264768 84930248 104529536 169860496 339720992 679441984 1358883968