Search a number
-
+
1190268 = 2233103107
BaseRepresentation
bin100100010100101111100
32020110202000
410202211330
5301042033
641302300
713055112
oct4424574
92213660
101190268
117432a2
12494990
13328a01
1422dab2
15187a13
hex12297c

1190268 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 389232.

The previous prime is 1190263. The next prime is 1190279. The reversal of 1190268 is 8620911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190261) 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, 11071 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

21190268 is an apocalyptic number.

1190268 is a gapful number since it is divisible by the number (18) 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 1190268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1190268 is an abundant number, since it is smaller than the sum of its proper divisors (1954692).

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

1190268 is a wasteful number, since it uses less digits than its factorization.

1190268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1190268 is about 1090.9940421469. The cubic root of 1190268 is about 105.9778047750.

The spelling of 1190268 in words is "one million, one hundred ninety thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 107 108 206 214 309 321 412 428 618 642 927 963 1236 1284 1854 1926 2781 2889 3708 3852 5562 5778 11021 11124 11556 22042 33063 44084 66126 99189 132252 198378 297567 396756 595134 1190268