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1136916 = 223411229
BaseRepresentation
bin100010101100100010100
32010202120000
410111210110
5242340131
640211300
712443424
oct4254424
92122500
101136916
11707200
12469b30
1330a641
14218484
15176ce6
hex115914

1136916 has 90 divisors (see below), whose sum is σ = 3379530. Its totient is φ = 332640.

The previous prime is 1136897. The next prime is 1136917. The reversal of 1136916 is 6196311.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 156816 = 990^2 + 396^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1136916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136917) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39190 + ... + 39218.

21136916 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 1136916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689765).

1136916 is an abundant number, since it is smaller than the sum of its proper divisors (2242614).

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

1136916 is a wasteful number, since it uses less digits than its factorization.

1136916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1136916 is about 1066.2626318126. The cubic root of 1136916 is about 104.3701063837.

The spelling of 1136916 in words is "one million, one hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 121 132 162 174 198 242 261 297 319 324 348 363 396 484 522 594 638 726 783 891 957 1044 1089 1188 1276 1452 1566 1782 1914 2178 2349 2871 3132 3267 3509 3564 3828 4356 4698 5742 6534 7018 8613 9396 9801 10527 11484 13068 14036 17226 19602 21054 25839 31581 34452 39204 42108 51678 63162 94743 103356 126324 189486 284229 378972 568458 1136916