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1072399328 = 257111333479
BaseRepresentation
bin111111111010111…
…000001111100000
32202201220112022122
4333322320033200
54144013234303
6254225123412
735401146440
oct7772701740
92681815278
101072399328
11500383540
1225b189568
13141238b20
14a25d6120
1564232e38
hex3feb83e0

1072399328 has 96 divisors (see below), whose sum is σ = 2834818560. Its totient is φ = 385666560.

The previous prime is 1072399327. The next prime is 1072399343. The reversal of 1072399328 is 8239932701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072399327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15293 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (29529360).

Almost surely, 21072399328 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 1072399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280).

1072399328 is an abundant number, since it is smaller than the sum of its proper divisors (1762419232).

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

1072399328 is a wasteful number, since it uses less digits than its factorization.

1072399328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33520 (or 33512 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1072399328 is about 32747.5087296729. The cubic root of 1072399328 is about 1023.5730540291.

The spelling of 1072399328 in words is "one billion, seventy-two million, three hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 33479 66958 133916 234353 267832 368269 435227 468706 535664 736538 870454 937412 1071328 1473076 1740908 1874824 2577883 2946152 3046589 3481816 3749648 4787497 5155766 5892304 6093178 6963632 7499296 9574994 10311532 11784608 12186356 13927264 19149988 20623064 24372712 33512479 38299976 41246128 48745424 67024958 76599952 82492256 97490848 134049916 153199904 268099832 536199664 1072399328