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11918424 = 2337611163
BaseRepresentation
bin101101011101…
…110001011000
3211102112000010
4231131301120
511022342144
61103241520
7203206410
oct55356130
924375003
1011918424
116800541
123ba92a0
132613b2b
141823640
1510a65b9
hexb5dc58

11918424 has 64 divisors (see below), whose sum is σ = 34640640. Its totient is φ = 3346560.

The previous prime is 11918419. The next prime is 11918437. The reversal of 11918424 is 42481911.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11918391 and 11918400.

It is a congruent number.

It is an unprimeable number.

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, 9667 + ... + 10829.

It is an arithmetic number, because the mean of its divisors is an integer number (541260).

Almost surely, 211918424 is an apocalyptic number.

11918424 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 11918424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320320).

11918424 is an abundant number, since it is smaller than the sum of its proper divisors (22722216).

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

11918424 is a wasteful number, since it uses less digits than its factorization.

11918424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 11918424 is about 3452.3070547099. The cubic root of 11918424 is about 228.4228839903.

The spelling of 11918424 in words is "eleven million, nine hundred eighteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1163 1281 1464 1708 2326 2562 3416 3489 4652 5124 6978 8141 9304 10248 13956 16282 24423 27912 32564 48846 65128 70943 97692 141886 195384 212829 283772 425658 496601 567544 851316 993202 1489803 1702632 1986404 2979606 3972808 5959212 11918424