Search a number
-
+
1119041728 = 26717146933
BaseRepresentation
bin100001010110011…
…0011100011000000
32212222200012122221
41002230303203000
54242433313403
6303012540424
736505461220
oct10254634300
92788605587
101119041728
11524740682
12272921714
1314aab9b8c
14a8898080
1568397dbd
hex42b338c0

1119041728 has 56 divisors (see below), whose sum is σ = 2687128992. Its totient is φ = 451375104.

The previous prime is 1119041717. The next prime is 1119041743. The reversal of 1119041728 is 8271409111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1119041693 and 1119041702.

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, 65851 + ... + 81082.

Almost surely, 21119041728 is an apocalyptic number.

It is an amenable number.

1119041728 is an abundant number, since it is smaller than the sum of its proper divisors (1568087264).

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

1119041728 is a wasteful number, since it uses less digits than its factorization.

1119041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146969 (or 146959 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 1119041728 is about 33452.0810712876. The cubic root of 1119041728 is about 1038.2025559960.

The spelling of 1119041728 in words is "one billion, one hundred nineteen million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 146933 293866 587732 1028531 1175464 2057062 2350928 2497861 4114124 4701856 4995722 8228248 9403712 9991444 16456496 17485027 19982888 32912992 34970054 39965776 65825984 69940108 79931552 139880216 159863104 279760432 559520864 1119041728