Search a number
-
+
1021808424 = 233713676983
BaseRepresentation
bin111100111001111…
…000111100101000
32122012201020122110
4330321320330220
54043040332144
6245220522320
734215141210
oct7471707450
92565636573
101021808424
1148486987a
122462503a0
13133904790
14999c7240
155ea8d0b9
hex3ce78f28

1021808424 has 128 divisors (see below), whose sum is σ = 3191408640. Its totient is φ = 265427712.

The previous prime is 1021808413. The next prime is 1021808461. The reversal of 1021808424 is 4248081201.

It is a junction number, because it is equal to n+sod(n) for n = 1021808391 and 1021808400.

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, 142837 + ... + 149819.

It is an arithmetic number, because the mean of its divisors is an integer number (24932880).

Almost surely, 21021808424 is an apocalyptic number.

1021808424 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 1021808424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595704320).

1021808424 is an abundant number, since it is smaller than the sum of its proper divisors (2169600216).

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

1021808424 is a wasteful number, since it uses less digits than its factorization.

1021808424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1021808424 is about 31965.7382833558. The cubic root of 1021808424 is about 1007.2172605045.

Adding to 1021808424 its reverse (4248081201), we get a palindrome (5269889625).

The spelling of 1021808424 in words is "one billion, twenty-one million, eight hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 5226 5628 6097 6968 6983 10452 11256 12194 13966 18291 20904 20949 24388 27932 36582 41898 48776 48881 55864 73164 83796 90779 97762 146328 146643 167592 181558 195524 272337 293286 363116 391048 467861 544674 586572 635453 726232 935722 1089348 1173144 1270906 1403583 1871444 1906359 2178696 2541812 2807166 3275027 3742888 3812718 5083624 5614332 6082193 6550054 7625436 9825081 11228664 12164386 13100108 15250872 18246579 19650162 24328772 26200216 36493158 39300324 42575351 48657544 72986316 78600648 85150702 127726053 145972632 170301404 255452106 340602808 510904212 1021808424