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11742024 = 2337371889
BaseRepresentation
bin101100110010…
…101101001000
3211002120000210
4230302231020
511001221044
61055401120
7201543210
oct54625510
924076023
1011742024
11669aa58
123b231a0
132581758
1417b9240
15106e1b9
hexb32b48

11742024 has 64 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3262464.

The previous prime is 11742011. The next prime is 11742043. The reversal of 11742024 is 42024711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5272 + ... + 7160.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 211742024 is an apocalyptic number.

11742024 is a gapful number since it is divisible by the number (14) 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 11742024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11742024 is an abundant number, since it is smaller than the sum of its proper divisors (22731576).

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

11742024 is a wasteful number, since it uses less digits than its factorization.

11742024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11742024 is about 3426.6636835266. The cubic root of 11742024 is about 227.2903450294.

Adding to 11742024 its reverse (42024711), we get a palindrome (53766735).

The spelling of 11742024 in words is "eleven million, seven hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 1889 2072 3108 3778 5667 6216 7556 11334 13223 15112 22668 26446 39669 45336 52892 69893 79338 105784 139786 158676 209679 279572 317352 419358 489251 559144 838716 978502 1467753 1677432 1957004 2935506 3914008 5871012 11742024