Search a number
-
+
1149148 = 2272111341
BaseRepresentation
bin100011000100011011100
32011101100001
410120203130
5243233043
640344044
712524200
oct4304334
92141301
101149148
11715410
12475024
13313090
1421cb00
1517a74d
hex1188dc

1149148 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 403200.

The previous prime is 1149131. The next prime is 1149151. The reversal of 1149148 is 8419411.

It is a super-2 number, since 2×11491482 = 2641082251808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28008 + ... + 28048.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

21149148 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 1149148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

1149148 is an abundant number, since it is smaller than the sum of its proper divisors (1666196).

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

1149148 is a wasteful number, since it uses less digits than its factorization.

1149148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 74 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 1149148 is about 1071.9832088237. The cubic root of 1149148 is about 104.7430755481.

1149148 divided by its sum of digits (28) gives a triangular number (41041 = T286).

The spelling of 1149148 in words is "one million, one hundred forty-nine thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 49 52 77 82 91 98 143 154 164 182 196 286 287 308 364 451 533 539 572 574 637 902 1001 1066 1078 1148 1274 1804 2002 2009 2132 2156 2548 3157 3731 4004 4018 5863 6314 7007 7462 8036 11726 12628 14014 14924 22099 23452 26117 28028 41041 44198 52234 82082 88396 104468 164164 287287 574574 1149148