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11681424 = 2432233527
BaseRepresentation
bin101100100011…
…111010010000
3210222110220100
4230203322100
510442301144
61054212400
7201201426
oct54437220
923873810
1011681424
116659477
123ab4100
13255ccb1
1417a1116
15105b269
hexb23e90

11681424 has 60 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3723456.

The previous prime is 11681413. The next prime is 11681429. The reversal of 11681424 is 42418611.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681429) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1549 + ... + 5075.

Almost surely, 211681424 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 11681424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11681424 is an abundant number, since it is smaller than the sum of its proper divisors (22441392).

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

11681424 is a wasteful number, since it uses less digits than its factorization.

11681424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3555 counting only the distinct ones).

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

The square root of 11681424 is about 3417.8098250195. The cubic root of 11681424 is about 226.8986590540.

The spelling of 11681424 in words is "eleven million, six hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 3527 7054 10581 14108 21162 28216 31743 42324 56432 63486 81121 84648 126972 162242 169296 243363 253944 324484 486726 507888 648968 730089 973452 1297936 1460178 1946904 2920356 3893808 5840712 11681424