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11238960 = 243546829
BaseRepresentation
bin101010110111…
…111000110000
3210010222221210
4222313320300
510334121320
61040520120
7164346435
oct52677060
923128853
1011238960
116386aa7
123920040
132436795
1416c7b8c
15ec00e0
hexab7e30

11238960 has 40 divisors (see below), whose sum is σ = 34841520. Its totient is φ = 2996992.

The previous prime is 11238949. The next prime is 11238967. The reversal of 11238960 is 6983211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11238967) 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 7 ways as a sum of consecutive naturals, for example, 23175 + ... + 23654.

It is an arithmetic number, because the mean of its divisors is an integer number (871038).

Almost surely, 211238960 is an apocalyptic number.

11238960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11238960 is an abundant number, since it is smaller than the sum of its proper divisors (23602560).

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

11238960 is a wasteful number, since it uses less digits than its factorization.

11238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46845 (or 46839 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11238960 is about 3352.4558162637. The cubic root of 11238960 is about 223.9969174746.

The spelling of 11238960 in words is "eleven million, two hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 46829 93658 140487 187316 234145 280974 374632 468290 561948 702435 749264 936580 1123896 1404870 1873160 2247792 2809740 3746320 5619480 11238960