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1115424 = 25331291
BaseRepresentation
bin100010000010100100000
32002200002000
410100110200
5241143144
635524000
712323652
oct4202440
92080060
101115424
116a2042
12459600
1330091b
142106d2
15170769
hex110520

1115424 has 48 divisors (see below), whose sum is σ = 3255840. Its totient is φ = 371520.

The previous prime is 1115419. The next prime is 1115447. The reversal of 1115424 is 4245111.

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

It is a super-3 number, since 3×11154243 = 4163333575880835072, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1115397 and 1115406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 1509.

It is an arithmetic number, because the mean of its divisors is an integer number (67830).

21115424 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 1115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627920).

1115424 is an abundant number, since it is smaller than the sum of its proper divisors (2140416).

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

1115424 is a wasteful number, since it uses less digits than its factorization.

1115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 1115424 is about 1056.1363548330. The cubic root of 1115424 is about 103.7082553306.

The spelling of 1115424 in words is "one million, one hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1291 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 34857 41312 46476 61968 69714 92952 123936 139428 185904 278856 371808 557712 1115424