Search a number
-
+
1042531440 = 243529473187
BaseRepresentation
bin111110001000111…
…100010001110000
32200122201002021120
4332020330101300
54113342001230
6251241022240
734556241156
oct7610742160
92618632246
101042531440
11495533335
12251184980
13137cac012
149c65d3d6
15617d3310
hex3e23c470

1042531440 has 160 divisors (see below), whose sum is σ = 3415495680. Its totient is φ = 262628352.

The previous prime is 1042531439. The next prime is 1042531447. The reversal of 1042531440 is 441352401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042531440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042531447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325527 + ... + 328713.

It is an arithmetic number, because the mean of its divisors is an integer number (21346848).

Almost surely, 21042531440 is an apocalyptic number.

1042531440 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 1042531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707747840).

1042531440 is an abundant number, since it is smaller than the sum of its proper divisors (2372964240).

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

1042531440 is a wasteful number, since it uses less digits than its factorization.

1042531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1042531440 is about 32288.2554499310. The cubic root of 1042531440 is about 1013.9807737291.

Adding to 1042531440 its reverse (441352401), we get a palindrome (1483883841).

The spelling of 1042531440 in words is "one billion, forty-two million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 174 188 232 235 240 282 290 348 376 435 464 470 564 580 696 705 752 870 940 1128 1160 1363 1392 1410 1740 1880 2256 2320 2726 2820 3187 3480 3760 4089 5452 5640 6374 6815 6960 8178 9561 10904 11280 12748 13630 15935 16356 19122 20445 21808 25496 27260 31870 32712 38244 40890 47805 50992 54520 63740 65424 76488 81780 92423 95610 109040 127480 149789 152976 163560 184846 191220 254960 277269 299578 327120 369692 382440 449367 462115 554538 599156 739384 748945 764880 898734 924230 1109076 1198312 1386345 1478768 1497890 1797468 1848460 2218152 2246835 2396624 2772690 2995780 3594936 3696920 4343881 4436304 4493670 5545380 5991560 7189872 7393840 8687762 8987340 11090760 11983120 13031643 17375524 17974680 21719405 22181520 26063286 34751048 35949360 43438810 52126572 65158215 69502096 86877620 104253144 130316430 173755240 208506288 260632860 347510480 521265720 1042531440