Search a number
-
+
1136016 = 24327323
BaseRepresentation
bin100010101010110010000
32010201022200
410111112100
5242323031
640203200
712441000
oct4252620
92121280
101136016
11706562
12469500
1330a0cb
14218000
151768e6
hex115590

1136016 has 120 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 310464.

The previous prime is 1135999. The next prime is 1136041. The reversal of 1136016 is 6106311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1136016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49381 + ... + 49403.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

21136016 is an apocalyptic number.

1136016 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 1136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934400).

1136016 is an abundant number, since it is smaller than the sum of its proper divisors (2732784).

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

1136016 is a wasteful number, since it uses less digits than its factorization.

1136016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1136016 is about 1065.8405133978. The cubic root of 1136016 is about 104.3425587921.

The spelling of 1136016 in words is "one million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 49 56 63 69 72 84 92 98 112 126 138 144 147 161 168 184 196 207 252 276 294 322 336 343 368 392 414 441 483 504 552 588 644 686 784 828 882 966 1008 1029 1104 1127 1176 1288 1372 1449 1656 1764 1932 2058 2254 2352 2576 2744 2898 3087 3312 3381 3528 3864 4116 4508 5488 5796 6174 6762 7056 7728 7889 8232 9016 10143 11592 12348 13524 15778 16464 18032 20286 23184 23667 24696 27048 31556 40572 47334 49392 54096 63112 71001 81144 94668 126224 142002 162288 189336 284004 378672 568008 1136016