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1042524340 = 2251113479761
BaseRepresentation
bin111110001000111…
…010100010110100
32200122200201112121
4332020322202310
54113341234330
6251240525324
734556211364
oct7610724264
92618621477
101042524340
11495528a70
12251180844
13137ca8a10
149c65a9a4
15617d117a
hex3e23a8b4

1042524340 has 96 divisors (see below), whose sum is σ = 2580802560. Its totient is φ = 348748800.

The previous prime is 1042524317. The next prime is 1042524347. The reversal of 1042524340 is 434252401.

It is a happy number.

1042524340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042524347) 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, 1369560 + ... + 1370320.

It is an arithmetic number, because the mean of its divisors is an integer number (26883360).

Almost surely, 21042524340 is an apocalyptic number.

1042524340 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 1042524340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290401280).

1042524340 is an abundant number, since it is smaller than the sum of its proper divisors (1538278220).

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

1042524340 is a wasteful number, since it uses less digits than its factorization.

1042524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1042524340 is about 32288.1455026454. The cubic root of 1042524340 is about 1013.9784718705.

Adding to 1042524340 its reverse (434252401), we get a palindrome (1476776741).

The spelling of 1042524340 in words is "one billion, forty-two million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 479 572 715 761 958 1430 1522 1916 2395 2860 3044 3805 4790 5269 6227 7610 8371 9580 9893 10538 12454 15220 16742 19786 21076 24908 26345 31135 33484 39572 41855 49465 52690 62270 68497 83710 98930 105380 108823 124540 136994 167420 197860 217646 273988 342485 364519 435292 544115 684970 729038 1088230 1369940 1458076 1822595 2176460 3645190 4009709 4738747 7290380 8019418 9477494 16038836 18954988 20048545 23693735 40097090 47387470 52126217 80194180 94774940 104252434 208504868 260631085 521262170 1042524340