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11969424 = 2433103269
BaseRepresentation
bin101101101010…
…001110010000
3211112002222000
4231222032100
511031010144
61104314000
7203511165
oct55521620
924462860
1011969424
116835895
124012900
1326310cc
14183806c
1510b6769
hexb6a390

11969424 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3936384.

The previous prime is 11969423. The next prime is 11969459. The reversal of 11969424 is 42496911.

It is a happy number.

It is a super-2 number, since 2×119694242 = 286534221783552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (11969423) 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 15 ways as a sum of consecutive naturals, for example, 44362 + ... + 44630.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 211969424 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 11969424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11969424 is an abundant number, since it is smaller than the sum of its proper divisors (22849776).

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

11969424 is a wasteful number, since it uses less digits than its factorization.

11969424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11969424 is about 3459.6855348427. The cubic root of 11969424 is about 228.7482343320.

The spelling of 11969424 in words is "eleven million, nine hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 269 309 412 432 538 618 807 824 927 1076 1236 1614 1648 1854 2152 2421 2472 2781 3228 3708 4304 4842 4944 5562 6456 7263 7416 9684 11124 12912 14526 14832 19368 22248 27707 29052 38736 44496 55414 58104 83121 110828 116208 166242 221656 249363 332484 443312 498726 664968 748089 997452 1329936 1496178 1994904 2992356 3989808 5984712 11969424