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11282964 = 22371112211
BaseRepresentation
bin101011000010…
…101000010100
3210020020022120
4223002220110
510342023324
61041455540
7164621640
oct53025024
923206276
1011282964
116407070
1239415b0
132450814
1416d9c20
15ecd179
hexac2a14

11282964 has 48 divisors (see below), whose sum is σ = 32825856. Its totient is φ = 2930400.

The previous prime is 11282933. The next prime is 11282989. The reversal of 11282964 is 46928211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5182 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (683872).

Almost surely, 211282964 is an apocalyptic number.

11282964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11282964 is an abundant number, since it is smaller than the sum of its proper divisors (21542892).

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

11282964 is a wasteful number, since it uses less digits than its factorization.

11282964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12236 (or 12234 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 11282964 is about 3359.0123548448. The cubic root of 11282964 is about 224.2888758105.

It can be divided in two parts, 11282 and 964, that added together give a triangular number (12246 = T156).

The spelling of 11282964 in words is "eleven million, two hundred eighty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 12211 24422 36633 48844 73266 85477 134321 146532 170954 256431 268642 341908 402963 512862 537284 805926 940247 1025724 1611852 1880494 2820741 3760988 5641482 11282964