Search a number
-
+
1042981104 = 243113136311
BaseRepresentation
bin111110001010101…
…010000011110000
32200200112221002210
4332022222003300
54114000343404
6251254412120
734563123144
oct7612520360
92620487083
101042981104
11495810160
12251361040
131381088a9
149c739224
1561871689
hex3e2aa0f0

1042981104 has 80 divisors (see below), whose sum is σ = 2949168384. Its totient is φ = 314995200.

The previous prime is 1042981103. The next prime is 1042981133. The reversal of 1042981104 is 4011892401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042981103) 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, 162109 + ... + 168419.

Almost surely, 21042981104 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 1042981104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474584192).

1042981104 is an abundant number, since it is smaller than the sum of its proper divisors (1906187280).

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

1042981104 is a wasteful number, since it uses less digits than its factorization.

1042981104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1042981104 is about 32295.2179741831. The cubic root of 1042981104 is about 1014.1265359560.

The spelling of 1042981104 in words is "one billion, forty-two million, nine hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 313 528 626 939 1252 1878 2504 3443 3756 5008 6311 6886 7512 10329 12622 13772 15024 18933 20658 25244 27544 37866 41316 50488 55088 69421 75732 82632 100976 138842 151464 165264 208263 277684 302928 416526 555368 833052 1110736 1666104 1975343 3332208 3950686 5926029 7901372 11852058 15802744 21728773 23704116 31605488 43457546 47408232 65186319 86915092 94816464 130372638 173830184 260745276 347660368 521490552 1042981104