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11443920 = 2435411163
BaseRepresentation
bin101011101001…
…111011010000
3210112102002220
4223221323100
510412201140
61045141040
7166162125
oct53517320
923472086
1011443920
116506a94
1239ba780
1324a8b67
14173c74c
151010bd0
hexae9ed0

11443920 has 80 divisors (see below), whose sum is σ = 36372672. Its totient is φ = 2974720.

The previous prime is 11443897. The next prime is 11443921. The reversal of 11443920 is 2934411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443921) by changing a digit.

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, 9259 + ... + 10421.

Almost surely, 211443920 is an apocalyptic number.

11443920 is a gapful number since it is divisible by the number (10) 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 11443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186336).

11443920 is an abundant number, since it is smaller than the sum of its proper divisors (24928752).

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

11443920 is a wasteful number, since it uses less digits than its factorization.

11443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11443920 is about 3382.8863415728. The cubic root of 11443920 is about 225.3503677080.

The spelling of 11443920 in words is "eleven million, four hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1163 1230 1640 1968 2326 2460 3280 3489 4652 4920 5815 6978 9304 9840 11630 13956 17445 18608 23260 27912 34890 46520 47683 55824 69780 93040 95366 139560 143049 190732 238415 279120 286098 381464 476830 572196 715245 762928 953660 1144392 1430490 1907320 2288784 2860980 3814640 5721960 11443920