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1126361856 = 28329103491
BaseRepresentation
bin100001100100010…
…1110101100000000
32220111110002222210
41003020232230000
54301322034411
6303433502120
736624626544
oct10310565400
92814402883
101126361856
11528890374
12275271940
1314c480a09
14a9841a24
1568d41ca6
hex4322eb00

1126361856 has 144 divisors (see below), whose sum is σ = 3137621760. Its totient is φ = 358256640.

The previous prime is 1126361851. The next prime is 1126361879. The reversal of 1126361856 is 6581636211.

It is not an unprimeable number, because it can be changed into a prime (1126361851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2293771 + ... + 2294261.

It is an arithmetic number, because the mean of its divisors is an integer number (21789040).

Almost surely, 21126361856 is an apocalyptic number.

1126361856 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 1126361856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568810880).

1126361856 is an abundant number, since it is smaller than the sum of its proper divisors (2011259904).

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

1126361856 is a wasteful number, since it uses less digits than its factorization.

1126361856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 1126361856 is about 33561.3148729307. The cubic root of 1126361856 is about 1040.4614126137.

The spelling of 1126361856 in words is "one billion, one hundred twenty-six million, three hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 103 116 128 174 192 206 232 256 309 348 384 412 464 491 618 696 768 824 928 982 1236 1392 1473 1648 1856 1964 2472 2784 2946 2987 3296 3712 3928 4944 5568 5892 5974 6592 7424 7856 8961 9888 11136 11784 11948 13184 14239 15712 17922 19776 22272 23568 23896 26368 28478 31424 35844 39552 42717 47136 47792 50573 56956 62848 71688 79104 85434 94272 95584 101146 113912 125696 143376 151719 170868 188544 191168 202292 227824 286752 303438 341736 377088 382336 404584 455648 573504 606876 683472 764672 809168 911296 1147008 1213752 1366944 1466617 1618336 1822592 2294016 2427504 2733888 2933234 3236672 3645184 4399851 4855008 5467776 5866468 6473344 8799702 9710016 10935552 11732936 12946688 17599404 19420032 23465872 35198808 38840064 46931744 70397616 93863488 140795232 187726976 281590464 375453952 563180928 1126361856