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11466252 = 2233729523
BaseRepresentation
bin101011101111…
…011000001100
3210120112202000
4223233120030
510413410002
61045432300
7166314210
oct53573014
923515660
1011466252
116521846
123a0b690
1324b6085
141746940
15101761c
hexaef60c

11466252 has 96 divisors (see below), whose sum is σ = 35212800. Its totient is φ = 3157056.

The previous prime is 11466229. The next prime is 11466271. The reversal of 11466252 is 25266411.

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

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 31 ways as a sum of consecutive naturals, for example, 21663 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (366800).

Almost surely, 211466252 is an apocalyptic number.

11466252 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 11466252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606400).

11466252 is an abundant number, since it is smaller than the sum of its proper divisors (23746548).

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

11466252 is a wasteful number, since it uses less digits than its factorization.

11466252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11466252 is about 3386.1854645013. The cubic root of 11466252 is about 225.4968575593.

It can be divided in two parts, 114 and 66252, that added together give a palindrome (66366).

The spelling of 11466252 in words is "eleven million, four hundred sixty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 523 609 756 783 812 1044 1046 1218 1566 1569 1827 2092 2436 3132 3138 3654 3661 4707 5481 6276 7308 7322 9414 10962 10983 14121 14644 15167 18828 21924 21966 28242 30334 32949 43932 45501 56484 60668 65898 91002 98847 106169 131796 136503 182004 197694 212338 273006 318507 395388 409509 424676 546012 637014 819018 955521 1274028 1638036 1911042 2866563 3822084 5733126 11466252