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1134201728 = 27112671093
BaseRepresentation
bin100001110011010…
…1000101110000000
32221001012102021102
41003212220232000
54310323423403
6304313513532
740051361402
oct10346505600
92831172242
101134201728
11532255600
12277a128a8
13150c972aa
14aa8c2b72
156988eb88
hex439a8b80

1134201728 has 96 divisors (see below), whose sum is σ = 2523004680. Its totient is φ = 507386880.

The previous prime is 1134201727. The next prime is 1134201763. The reversal of 1134201728 is 8271024311.

It is a self number, because there is not a number n which added to its sum of digits gives 1134201728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134201721) 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, 1037150 + ... + 1038242.

Almost surely, 21134201728 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 1134201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261502340).

1134201728 is an abundant number, since it is smaller than the sum of its proper divisors (1388802952).

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

1134201728 is a wasteful number, since it uses less digits than its factorization.

1134201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1134201728 is about 33677.9115742054. The cubic root of 1134201728 is about 1042.8698250645.

The spelling of 1134201728 in words is "one billion, one hundred thirty-four million, two hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 121 128 134 176 242 268 352 484 536 704 737 968 1072 1093 1408 1474 1936 2144 2186 2948 3872 4288 4372 5896 7744 8107 8576 8744 11792 12023 15488 16214 17488 23584 24046 32428 34976 47168 48092 64856 69952 73231 94336 96184 129712 132253 139904 146462 192368 259424 264506 292924 384736 518848 529012 585848 769472 805541 1037696 1058024 1171696 1538944 1611082 2116048 2343392 3222164 4232096 4686784 6444328 8464192 8860951 9373568 12888656 16928384 17721902 25777312 35443804 51554624 70887608 103109248 141775216 283550432 567100864 1134201728