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11002152 = 2337431523
BaseRepresentation
bin101001111110…
…000100101000
3202200222010010
4221332010220
510304032102
61031451520
7162342150
oct51760450
922628103
1011002152
116235097
123826ba0
132382a65
141665760
15e74d6c
hexa7e128

11002152 has 64 divisors (see below), whose sum is σ = 32186880. Its totient is φ = 3068352.

The previous prime is 11002139. The next prime is 11002169. The reversal of 11002152 is 25120011.

It is a super-2 number, since 2×110021522 = 242094697262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6463 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 211002152 is an apocalyptic number.

11002152 is a gapful number since it is divisible by the number (12) 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 11002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093440).

11002152 is an abundant number, since it is smaller than the sum of its proper divisors (21184728).

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

11002152 is a wasteful number, since it uses less digits than its factorization.

11002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11002152 is about 3316.9492006963. The cubic root of 11002152 is about 222.4125111572.

Adding to 11002152 its reverse (25120011), we get a palindrome (36122163).

The spelling of 11002152 in words is "eleven million, two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1523 1806 2408 3046 3612 4569 6092 7224 9138 10661 12184 18276 21322 31983 36552 42644 63966 65489 85288 127932 130978 196467 255864 261956 392934 458423 523912 785868 916846 1375269 1571736 1833692 2750538 3667384 5501076 11002152