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11045920 = 2551731131
BaseRepresentation
bin101010001000…
…110000100000
3202210012011011
4222020300200
510311432140
61032430304
7162613564
oct52106040
922705134
1011045920
116264a66
123848394
132399962
1416776a4
15e82cea
hexa88c20

11045920 has 96 divisors (see below), whose sum is σ = 28740096. Its totient is φ = 3993600.

The previous prime is 11045917. The next prime is 11045927. The reversal of 11045920 is 2954011.

It is a junction number, because it is equal to n+sod(n) for n = 11045891 and 11045900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84255 + ... + 84385.

It is an arithmetic number, because the mean of its divisors is an integer number (299376).

Almost surely, 211045920 is an apocalyptic number.

11045920 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 11045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370048).

11045920 is an abundant number, since it is smaller than the sum of its proper divisors (17694176).

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

11045920 is a wasteful number, since it uses less digits than its factorization.

11045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11045920 is about 3323.5402810858. The cubic root of 11045920 is about 222.7070496197.

Adding to 11045920 its reverse (2954011), we get a palindrome (13999931).

The spelling of 11045920 in words is "eleven million, forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 131 136 155 160 170 248 262 272 310 340 496 524 527 544 620 655 680 992 1048 1054 1240 1310 1360 2096 2108 2227 2480 2620 2635 2720 4061 4192 4216 4454 4960 5240 5270 8122 8432 8908 10480 10540 11135 16244 16864 17816 20305 20960 21080 22270 32488 35632 40610 42160 44540 64976 69037 71264 81220 84320 89080 129952 138074 162440 178160 276148 324880 345185 356320 552296 649760 690370 1104592 1380740 2209184 2761480 5522960 11045920