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11284380 = 2233520897
BaseRepresentation
bin101011000010…
…111110011100
3210020022021000
4223002332130
510342100010
61041510300
7164626032
oct53027634
923208230
1011284380
116408138
123942390
132451363
1416da552
15ecd7c0
hexac2f9c

11284380 has 48 divisors (see below), whose sum is σ = 35108640. Its totient is φ = 3009024.

The previous prime is 11284373. The next prime is 11284387. The reversal of 11284380 is 8348211.

11284380 is a `hidden beast` number, since 1 + 1 + 284 + 380 = 666.

It is an interprime number because it is at equal distance from previous prime (11284373) and next prime (11284387).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284387) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9909 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (731430).

Almost surely, 211284380 is an apocalyptic number.

11284380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11284380 is an abundant number, since it is smaller than the sum of its proper divisors (23824260).

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

11284380 is a wasteful number, since it uses less digits than its factorization.

11284380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915 (or 20907 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11284380 is about 3359.2231244739. The cubic root of 11284380 is about 224.2982580900.

It can be divided in two parts, 11284 and 380, that added together give a square (11664 = 1082).

The spelling of 11284380 in words is "eleven million, two hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 20897 41794 62691 83588 104485 125382 188073 208970 250764 313455 376146 417940 564219 626910 752292 940365 1128438 1253820 1880730 2256876 2821095 3761460 5642190 11284380