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11453148 = 2232747967
BaseRepresentation
bin101011101100…
…001011011100
3210112212202200
4223230023130
510413000043
61045251500
7166231050
oct53541334
923485680
1011453148
116512a13
123a03b90
1324b0115
141741c60
1510137d3
hexaec2dc

11453148 has 72 divisors (see below), whose sum is σ = 33825792. Its totient is φ = 3199392.

The previous prime is 11453129. The next prime is 11453153. The reversal of 11453148 is 84135411.

It is a happy number.

It is a super-3 number, since 3×114531483 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11361 + ... + 12327.

Almost surely, 211453148 is an apocalyptic number.

11453148 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 11453148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912896).

11453148 is an abundant number, since it is smaller than the sum of its proper divisors (22372644).

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

11453148 is a wasteful number, since it uses less digits than its factorization.

11453148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 11453148 is about 3384.2499907660. The cubic root of 11453148 is about 225.4109231380.

Adding to 11453148 its reverse (84135411), we get a palindrome (95588559).

The spelling of 11453148 in words is "eleven million, four hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 967 987 1316 1692 1934 1974 2901 2961 3868 3948 5802 5922 6769 8703 11604 11844 13538 17406 20307 27076 34812 40614 45449 60921 81228 90898 121842 136347 181796 243684 272694 318143 409041 545388 636286 818082 954429 1272572 1636164 1908858 2863287 3817716 5726574 11453148