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1116384 = 25329401
BaseRepresentation
bin100010000100011100000
32002201101120
410100203200
5241211014
635532240
712326523
oct4204340
92081346
101116384
116a2835
1245a080
133011a9
14210bba
15170ba9
hex1108e0

1116384 has 48 divisors (see below), whose sum is σ = 3039120. Its totient is φ = 358400.

The previous prime is 1116371. The next prime is 1116419. The reversal of 1116384 is 4836111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11163843 = 4174092465153933312, which contains 333 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2584 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (63315).

21116384 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 1116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519560).

1116384 is an abundant number, since it is smaller than the sum of its proper divisors (1922736).

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

1116384 is a wasteful number, since it uses less digits than its factorization.

1116384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1116384 is about 1056.5907438550. The cubic root of 1116384 is about 103.7379992893.

The spelling of 1116384 in words is "one million, one hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 401 464 696 802 928 1203 1392 1604 2406 2784 3208 4812 6416 9624 11629 12832 19248 23258 34887 38496 46516 69774 93032 139548 186064 279096 372128 558192 1116384