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11023920 = 2432561251
BaseRepresentation
bin101010000011…
…011000110000
3202202001222100
4222003120300
510310231140
61032140400
7162462465
oct52033060
922661870
1011023920
11624a486
123837700
13238c93b
14166d66c
15e7b530
hexa83630

11023920 has 120 divisors (see below), whose sum is σ = 37778832. Its totient is φ = 2880000.

The previous prime is 11023919. The next prime is 11023927. The reversal of 11023920 is 2932011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11023893 and 11023902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023927) 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, 43795 + ... + 44045.

Almost surely, 211023920 is an apocalyptic number.

11023920 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 11023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

11023920 is an abundant number, since it is smaller than the sum of its proper divisors (26754912).

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

11023920 is a wasteful number, since it uses less digits than its factorization.

11023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11023920 is about 3320.2289077713. The cubic root of 11023920 is about 222.5590972087.

Adding to 11023920 its reverse (2932011), we get a palindrome (13955931).

The spelling of 11023920 in words is "eleven million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 251 305 360 366 488 502 549 610 720 732 753 915 976 1004 1098 1220 1255 1464 1506 1830 2008 2196 2259 2440 2510 2745 2928 3012 3660 3765 4016 4392 4518 4880 5020 5490 6024 7320 7530 8784 9036 10040 10980 11295 12048 14640 15060 15311 18072 20080 21960 22590 30120 30622 36144 43920 45180 45933 60240 61244 76555 90360 91866 122488 137799 153110 180720 183732 229665 244976 275598 306220 367464 459330 551196 612440 688995 734928 918660 1102392 1224880 1377990 1837320 2204784 2755980 3674640 5511960 11023920