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1126366528 = 26721931861
BaseRepresentation
bin100001100100010…
…1111110101000000
32220111110100101211
41003020233311000
54301322212103
6303433535504
736624646300
oct10310576500
92814410354
101126366528
11528893931
12275274594
1314c482b91
14a9843600
1568d4336d
hex4322fd40

1126366528 has 84 divisors (see below), whose sum is σ = 2614929492. Its totient is φ = 479969280.

The previous prime is 1126366519. The next prime is 1126366559. The reversal of 1126366528 is 8256636211.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 1044065344 = 9072^2 + 32312^2 .

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 11 ways as a sum of consecutive naturals, for example, 604318 + ... + 606178.

It is an arithmetic number, because the mean of its divisors is an integer number (31130113).

Almost surely, 21126366528 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 1126366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307464746).

1126366528 is an abundant number, since it is smaller than the sum of its proper divisors (1488562964).

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

1126366528 is a wasteful number, since it uses less digits than its factorization.

1126366528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2063 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1126366528 is about 33561.3844768061. The cubic root of 1126366528 is about 1040.4628511771.

The spelling of 1126366528 in words is "one billion, one hundred twenty-six million, three hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 193 196 224 386 392 448 772 784 1351 1544 1568 1861 2702 3088 3136 3722 5404 6176 7444 9457 10808 12352 13027 14888 18914 21616 26054 29776 37828 43232 52108 59552 75656 86464 91189 104216 119104 151312 182378 208432 302624 359173 364756 416864 605248 718346 729512 833728 1436692 1459024 2514211 2873384 2918048 5028422 5746768 5836096 10056844 11493536 17599477 20113688 22987072 35198954 40227376 70397908 80454752 140795816 160909504 281591632 563183264 1126366528