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1128380 = 2251123223
BaseRepresentation
bin100010011011110111100
32010022211212
410103132330
5242102010
640103552
712406511
oct4233674
92108755
101128380
11700850
12464bb8
133067a6
14215308
15174505
hex1137bc

1128380 has 48 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 390720.

The previous prime is 1128373. The next prime is 1128383. The reversal of 1128380 is 838211.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4949 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

21128380 is an apocalyptic number.

1128380 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 1128380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

1128380 is an abundant number, since it is smaller than the sum of its proper divisors (1581124).

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

1128380 is a wasteful number, since it uses less digits than its factorization.

1128380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1128380 is about 1062.2523240737. The cubic root of 1128380 is about 104.1082452852.

The spelling of 1128380 in words is "one million, one hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 223 230 253 446 460 506 892 1012 1115 1265 2230 2453 2530 4460 4906 5060 5129 9812 10258 12265 20516 24530 25645 49060 51290 56419 102580 112838 225676 282095 564190 1128380