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1114380 = 2232541151
BaseRepresentation
bin100010000000100001100
32002121122100
410100010030
5241130010
635515100
712320631
oct4200414
92077570
101114380
116a1283
12458a90
133002c7
14210188
151702c0
hex11010c

1114380 has 72 divisors (see below), whose sum is σ = 3485664. Its totient is φ = 288000.

The previous prime is 1114361. The next prime is 1114381. The reversal of 1114380 is 834111.

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

It is not an unprimeable number, because it can be changed into a prime (1114381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7305 + ... + 7455.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

21114380 is an apocalyptic number.

1114380 is a gapful number since it is divisible by the number (10) 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 1114380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832).

1114380 is an abundant number, since it is smaller than the sum of its proper divisors (2371284).

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

1114380 is a wasteful number, since it uses less digits than its factorization.

1114380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1114380 is about 1055.6419847657. The cubic root of 1114380 is about 103.6758893975.

Adding to 1114380 its reverse (834111), we get a palindrome (1948491).

The spelling of 1114380 in words is "one million, one hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 151 164 180 205 246 302 369 410 453 492 604 615 738 755 820 906 1230 1359 1476 1510 1812 1845 2265 2460 2718 3020 3690 4530 5436 6191 6795 7380 9060 12382 13590 18573 24764 27180 30955 37146 55719 61910 74292 92865 111438 123820 185730 222876 278595 371460 557190 1114380