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1042523136 = 2103412569
BaseRepresentation
bin111110001000111…
…010010000000000
32200122200122220000
4332020322100000
54113341220021
6251240520000
734556205024
oct7610722000
92618618800
101042523136
11495528076
12251180000
13137ca82c5
149c65a384
15617d0b26
hex3e23a400

1042523136 has 110 divisors (see below), whose sum is σ = 3113425590. Its totient is φ = 347480064.

The previous prime is 1042523099. The next prime is 1042523143. The reversal of 1042523136 is 6313252401.

1042523136 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 523 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1040449536 + 2073600 = 32256^2 + 1440^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76660 + ... + 89228.

It is an arithmetic number, because the mean of its divisors is an integer number (28303869).

Almost surely, 21042523136 is an apocalyptic number.

1042523136 is a gapful number since it is divisible by the number (16) 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 1042523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556712795).

1042523136 is an abundant number, since it is smaller than the sum of its proper divisors (2070902454).

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

1042523136 is an equidigital number, since it uses as much as digits as its factorization.

1042523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1042523136 is about 32288.1268580263. The cubic root of 1042523136 is about 1013.9780815261.

Adding to 1042523136 its reverse (6313252401), we get a palindrome (7355775537).

The spelling of 1042523136 in words is "one billion, forty-two million, five hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 12569 13824 20736 25138 27648 37707 41472 50276 75414 82944 100552 113121 150828 201104 226242 301656 339363 402208 452484 603312 678726 804416 904968 1018089 1206624 1357452 1608832 1809936 2036178 2413248 2714904 3217664 3619872 4072356 4826496 5429808 6435328 7239744 8144712 9652992 10859616 12870656 14479488 16289424 19305984 21719232 28958976 32578848 38611968 43438464 57917952 65157696 86876928 115835904 130315392 173753856 260630784 347507712 521261568 1042523136