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11345928 = 2331123907
BaseRepresentation
bin101011010010…
…000000001000
3210100102200120
4223102000020
510401032203
61043103240
7165303336
oct53220010
923312616
1011345928
11644a400
123971b20
132473389
141714b56
15ee1b53
hexad2008

11345928 has 48 divisors (see below), whose sum is σ = 31185840. Its totient is φ = 3437280.

The previous prime is 11345921. The next prime is 11345933. The reversal of 11345928 is 82954311.

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

It is not an unprimeable number, because it can be changed into a prime (11345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951 + ... + 4857.

It is an arithmetic number, because the mean of its divisors is an integer number (649705).

Almost surely, 211345928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11345928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592920).

11345928 is an abundant number, since it is smaller than the sum of its proper divisors (19839912).

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

11345928 is a wasteful number, since it uses less digits than its factorization.

11345928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3923 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 11345928 is about 3368.3717134544. The cubic root of 11345928 is about 224.7053129764.

The spelling of 11345928 in words is "eleven million, three hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3907 7814 11721 15628 23442 31256 42977 46884 85954 93768 128931 171908 257862 343816 472747 515724 945494 1031448 1418241 1890988 2836482 3781976 5672964 11345928