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11097120 = 253561379
BaseRepresentation
bin101010010101…
…010000100000
3202212210101110
4222111100200
510320101440
61033503320
7163216056
oct52252040
922783343
1011097120
11629a481
123871b40
1323b7058
14168c1d6
15e93080
hexa95420

11097120 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 2903040.

The previous prime is 11097113. The next prime is 11097131. The reversal of 11097120 is 2179011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29091 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 211097120 is an apocalyptic number.

11097120 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 11097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

11097120 is an abundant number, since it is smaller than the sum of its proper divisors (24525600).

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

11097120 is a wasteful number, since it uses less digits than its factorization.

11097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11097120 is about 3331.2340055901. The cubic root of 11097120 is about 223.0506162460.

The spelling of 11097120 in words is "eleven million, ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 379 480 488 610 732 758 915 976 1137 1220 1464 1516 1830 1895 1952 2274 2440 2928 3032 3660 3790 4548 4880 5685 5856 6064 7320 7580 9096 9760 11370 12128 14640 15160 18192 22740 23119 29280 30320 36384 45480 46238 60640 69357 90960 92476 115595 138714 181920 184952 231190 277428 346785 369904 462380 554856 693570 739808 924760 1109712 1387140 1849520 2219424 2774280 3699040 5548560 11097120