Search a number
-
+
1042674584 = 2372931139149
BaseRepresentation
bin111110001001011…
…111001110011000
32200122222100122012
4332021133032120
54113411041314
6251244045052
734560405410
oct7611371630
92618870565
101042674584
11495620936
12251233788
1313802c213
149c699640
156181093e
hex3e25f398

1042674584 has 128 divisors (see below), whose sum is σ = 2419200000. Its totient is φ = 411747840.

The previous prime is 1042674559. The next prime is 1042674593. The reversal of 1042674584 is 4854762401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6997742 + ... + 6997890.

It is an arithmetic number, because the mean of its divisors is an integer number (18900000).

Almost surely, 21042674584 is an apocalyptic number.

1042674584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042674584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600000).

1042674584 is an abundant number, since it is smaller than the sum of its proper divisors (1376525416).

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

1042674584 is a wasteful number, since it uses less digits than its factorization.

1042674584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 1042674584 is about 32290.4720312355. The cubic root of 1042674584 is about 1014.0271795626.

The spelling of 1042674584 in words is "one billion, forty-two million, six hundred seventy-four thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 139 149 203 217 232 248 278 298 406 434 556 596 812 868 899 973 1043 1112 1192 1624 1736 1798 1946 2086 3596 3892 4031 4172 4309 4321 4619 6293 7192 7784 8062 8344 8618 8642 9238 12586 16124 17236 17284 18476 20711 25172 28217 30163 30247 32248 32333 34472 34568 36952 41422 50344 56434 60326 60494 64666 82844 112868 120652 120988 124961 129332 133951 144977 165688 225736 241304 241976 249922 258664 267902 289954 499844 535804 579908 600619 642041 874727 937657 999688 1071608 1159816 1201238 1284082 1749454 1875314 2402476 2568164 3498908 3750628 4204333 4494287 4804952 5136328 6997816 7501256 8408666 8988574 16817332 17977148 18619189 33634664 35954296 37238378 74476756 130334323 148953512 260668646 521337292 1042674584