Search a number
-
+
1047424820 = 225132431719
BaseRepresentation
bin111110011011100…
…110111100110100
32200222220200201212
4332123212330310
54121120043240
6251533540552
734645651451
oct7633467464
92628820655
101047424820
11498275852
12252944758
13139003400
149d174828
1561e4d165
hex3e6e6f34

1047424820 has 72 divisors (see below), whose sum is σ = 2390653440. Its totient is φ = 385307520.

The previous prime is 1047424811. The next prime is 1047424841. The reversal of 1047424820 is 284247401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456421 + ... + 1457139.

It is an arithmetic number, because the mean of its divisors is an integer number (33203520).

Almost surely, 21047424820 is an apocalyptic number.

1047424820 is a gapful number since it is divisible by the number (10) 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 1047424820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195326720).

1047424820 is an abundant number, since it is smaller than the sum of its proper divisors (1343228620).

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

1047424820 is a wasteful number, since it uses less digits than its factorization.

1047424820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 1047424820 is about 32363.9432084534. The cubic root of 1047424820 is about 1015.5647548264.

The spelling of 1047424820 in words is "one billion, forty-seven million, four hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 431 676 719 845 862 1438 1690 1724 2155 2876 3380 3595 4310 5603 7190 8620 9347 11206 14380 18694 22412 28015 37388 46735 56030 72839 93470 112060 121511 145678 186940 243022 291356 309889 364195 486044 607555 619778 728390 1215110 1239556 1456780 1549445 2430220 3098890 4028557 6197780 8057114 16114228 20142785 40285570 52371241 80571140 104742482 209484964 261856205 523712410 1047424820