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10981120 = 28523373
BaseRepresentation
bin101001111000…
…111100000000
3202122220021011
4221320330000
510302343440
61031210304
7162223633
oct51707400
922586234
1010981120
116220307
123816994
132376307
14165bc1a
15e6d9ea
hexa78f00

10981120 has 72 divisors (see below), whose sum is σ = 27520416. Its totient is φ = 4190208.

The previous prime is 10981109. The next prime is 10981129. The reversal of 10981120 is 2118901.

It is a junction number, because it is equal to n+sod(n) for n = 10981091 and 10981100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10981129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29254 + ... + 29626.

It is an arithmetic number, because the mean of its divisors is an integer number (382228).

Almost surely, 210981120 is an apocalyptic number.

10981120 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 10981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760208).

10981120 is an abundant number, since it is smaller than the sum of its proper divisors (16539296).

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

10981120 is an equidigital number, since it uses as much as digits as its factorization.

10981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 10981120 is about 3313.7773009060. Note that the first 3 decimals coincide. The cubic root of 10981120 is about 222.2706975730.

The spelling of 10981120 in words is "ten million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 373 460 640 736 746 920 1280 1472 1492 1840 1865 2944 2984 3680 3730 5888 5968 7360 7460 8579 11936 14720 14920 17158 23872 29440 29840 34316 42895 47744 59680 68632 85790 95488 119360 137264 171580 238720 274528 343160 477440 549056 686320 1098112 1372640 2196224 2745280 5490560 10981120