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1040554512 = 24345315149
BaseRepresentation
bin111110000001011…
…001101000010000
32200111222122110000
4332001121220100
54112340221022
6251130410000
734533365424
oct7601315020
92614878400
101040554512
11494403008
12250590900
1313776923a
149c2a6b84
15615426ac
hex3e059a10

1040554512 has 100 divisors (see below), whose sum is σ = 3068693100. Its totient is φ = 340284672.

The previous prime is 1040554469. The next prime is 1040554519. The reversal of 1040554512 is 2154550401.

1040554512 is a `hidden beast` number, since 104 + 0 + 5 + 545 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 740710656 + 299843856 = 27216^2 + 17316^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1040554519) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61114 + ... + 76262.

It is an arithmetic number, because the mean of its divisors is an integer number (30686931).

Almost surely, 21040554512 is an apocalyptic number.

1040554512 is a gapful number since it is divisible by the number (12) 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 1040554512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534346550).

1040554512 is an abundant number, since it is smaller than the sum of its proper divisors (2028138588).

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

1040554512 is a wasteful number, since it uses less digits than its factorization.

1040554512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1040554512 is about 32257.6271911001. The cubic root of 1040554512 is about 1013.3394388290.

The spelling of 1040554512 in words is "one billion, forty million, five hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 15149 17172 22896 30298 34344 45447 60596 68688 90894 121192 136341 181788 242384 272682 363576 409023 545364 727152 802897 818046 1090728 1227069 1605794 1636092 2181456 2408691 2454138 3211588 3272184 4817382 4908276 6423176 6544368 7226073 9634764 9816552 12846352 14452146 19269528 19633104 21678219 28904292 38539056 43356438 57808584 65034657 86712876 115617168 130069314 173425752 260138628 346851504 520277256 1040554512