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1136211216 = 243721014783
BaseRepresentation
bin100001110111001…
…0011010100010000
32221011222111202220
41003232103110100
54311332224331
6304424541040
740104431100
oct10356232420
92834874686
101136211216
115333a8338
12278621780
1315151bb3a
14aac87200
1569b3a296
hex43b93510

1136211216 has 120 divisors (see below), whose sum is σ = 3448957824. Its totient is φ = 321350400.

The previous prime is 1136211211. The next prime is 1136211253. The reversal of 1136211216 is 6121126311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1136211211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 235161 + ... + 239943.

Almost surely, 21136211216 is an apocalyptic number.

1136211216 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 1136211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724478912).

1136211216 is an abundant number, since it is smaller than the sum of its proper divisors (2312746608).

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

1136211216 is a wasteful number, since it uses less digits than its factorization.

1136211216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4896 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1136211216 is about 33707.7322880077. The cubic root of 1136211216 is about 1043.4853528371.

Adding to 1136211216 its reverse (6121126311), we get a palindrome (7257337527).

It can be divided in two parts, 11362 and 11216, that added together give a triangular number (22578 = T212).

The spelling of 1136211216 in words is "one billion, one hundred thirty-six million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 101 112 147 168 196 202 294 303 336 392 404 588 606 707 784 808 1176 1212 1414 1616 2121 2352 2424 2828 4242 4783 4848 4949 5656 8484 9566 9898 11312 14349 14847 16968 19132 19796 28698 29694 33481 33936 38264 39592 57396 59388 66962 76528 79184 100443 114792 118776 133924 200886 229584 234367 237552 267848 401772 468734 483083 535696 703101 803544 937468 966166 1406202 1449249 1607088 1874936 1932332 2812404 2898498 3381581 3749872 3864664 5624808 5796996 6763162 7729328 10144743 11249616 11593992 13526324 20289486 23187984 23671067 27052648 40578972 47342134 54105296 71013201 81157944 94684268 142026402 162315888 189368536 284052804 378737072 568105608 1136211216