Search a number
-
+
1117896704 = 21431271
BaseRepresentation
bin100001010100001…
…1100000000000000
32212220112000222122
41002220130000000
54242140143304
6302532223412
736462652031
oct10250340000
92786460878
101117896704
11524029381
1227246ab68
1314a7a8952
14a867aa88
156821d9be
hex42a1c000

1117896704 has 90 divisors (see below), whose sum is σ = 2342709432. Its totient is φ = 533299200.

The previous prime is 1117896679. The next prime is 1117896709. The reversal of 1117896704 is 4076987111.

It is a super-3 number, since 3×11178967043 (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117896709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15744989 + ... + 15745059.

Almost surely, 21117896704 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 1117896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171354716).

1117896704 is an abundant number, since it is smaller than the sum of its proper divisors (1224812728).

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

1117896704 is an frugal number, since it uses more digits than its factorization.

1117896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The square root of 1117896704 is about 33434.9622999638. The cubic root of 1117896704 is about 1037.8483325265.

The spelling of 1117896704 in words is "one billion, one hundred seventeen million, eight hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 961 992 1024 1136 1922 1984 2048 2201 2272 3844 3968 4096 4402 4544 7688 7936 8192 8804 9088 15376 15872 16384 17608 18176 30752 31744 35216 36352 61504 63488 68231 70432 72704 123008 126976 136462 140864 145408 246016 253952 272924 281728 290816 492032 507904 545848 563456 581632 984064 1091696 1126912 1163264 1968128 2183392 2253824 3936256 4366784 4507648 7872512 8733568 9015296 15745024 17467136 18030592 34934272 36061184 69868544 139737088 279474176 558948352 1117896704