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1042023636 = 2233173891459
BaseRepresentation
bin111110000111000…
…000010011010100
32200121202021201000
4332013000103110
54113224224021
6251222103300
734552024533
oct7607002324
92617667630
101042023636
11495216865
12250b7ab30
13137b61b44
149c56a31a
1561732b26
hex3e1c04d4

1042023636 has 96 divisors (see below), whose sum is σ = 2869776000. Its totient is φ = 325845504.

The previous prime is 1042023623. The next prime is 1042023643. The reversal of 1042023636 is 6363202401.

1042023636 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 23 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 713475 + ... + 714933.

It is an arithmetic number, because the mean of its divisors is an integer number (29893500).

Almost surely, 21042023636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042023636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434888000).

1042023636 is an abundant number, since it is smaller than the sum of its proper divisors (1827752364).

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

1042023636 is a wasteful number, since it uses less digits than its factorization.

1042023636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1042023636 is about 32280.3908898266. The cubic root of 1042023636 is about 1013.8161145490.

The spelling of 1042023636 in words is "one billion, forty-two million, twenty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 389 459 612 778 918 1167 1459 1556 1836 2334 2918 3501 4377 4668 5836 6613 7002 8754 10503 13131 13226 14004 17508 19839 21006 24803 26262 26452 39393 39678 42012 49606 52524 59517 74409 78786 79356 99212 119034 148818 157572 178551 223227 238068 297636 357102 446454 567551 669681 714204 892908 1135102 1339362 1702653 2270204 2678724 3405306 5107959 6810612 9648367 10215918 15323877 19296734 20431836 28945101 30647754 38593468 57890202 61295508 86835303 115780404 173670606 260505909 347341212 521011818 1042023636