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11944296 = 23327131823
BaseRepresentation
bin101101100100…
…000101101000
3211110211111100
4231210011220
511024204141
61104001400
7203345010
oct55440550
924424440
1011944296
116818a21
124000260
132622840
14182cc40
1510ae0b6
hexb64168

11944296 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3148416.

The previous prime is 11944277. The next prime is 11944297. The reversal of 11944296 is 69244911.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 11944296.

It is not an unprimeable number, because it can be changed into a prime (11944297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5641 + ... + 7463.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 211944296 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 11944296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

11944296 is an abundant number, since it is smaller than the sum of its proper divisors (27891864).

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

11944296 is a wasteful number, since it uses less digits than its factorization.

11944296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

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

The square root of 11944296 is about 3456.0520829409. The cubic root of 11944296 is about 228.5880480475.

The spelling of 11944296 in words is "eleven million, nine hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 1823 2184 3276 3646 5469 6552 7292 10938 12761 14584 16407 21876 23699 25522 32814 38283 43752 47398 51044 65628 71097 76566 94796 102088 114849 131256 142194 153132 165893 189592 213291 229698 284388 306264 331786 426582 459396 497679 568776 663572 853164 918792 995358 1327144 1493037 1706328 1990716 2986074 3981432 5972148 11944296