Search a number
-
+
1042300240 = 245671631193
BaseRepresentation
bin111110001000000…
…011110101010000
32200122021100010121
4332020003311100
54113312101430
6251232040024
734554256132
oct7610036520
92618240117
101042300240
11495395663
12251093014
13137c2aa07
149c5dd052
1561789a7a
hex3e203d50

1042300240 has 80 divisors (see below), whose sum is σ = 2476680768. Its totient is φ = 407835648.

The previous prime is 1042300213. The next prime is 1042300241. The reversal of 1042300240 is 420032401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042300241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873084 + ... + 874276.

Almost surely, 21042300240 is an apocalyptic number.

1042300240 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 1042300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238340384).

1042300240 is an abundant number, since it is smaller than the sum of its proper divisors (1434380528).

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

1042300240 is a wasteful number, since it uses less digits than its factorization.

1042300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1042300240 is about 32284.6750022360. The cubic root of 1042300240 is about 1013.9058120612.

Adding to 1042300240 its reverse (420032401), we get a palindrome (1462332641).

The spelling of 1042300240 in words is "one billion, forty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 163 268 326 335 536 652 670 815 1072 1193 1304 1340 1630 2386 2608 2680 3260 4772 5360 5965 6520 9544 10921 11930 13040 19088 21842 23860 43684 47720 54605 79931 87368 95440 109210 159862 174736 194459 218420 319724 388918 399655 436840 639448 777836 799310 873680 972295 1278896 1555672 1598620 1944590 3111344 3197240 3889180 6394480 7778360 13028753 15556720 26057506 52115012 65143765 104230024 130287530 208460048 260575060 521150120 1042300240