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11025120 = 2535103223
BaseRepresentation
bin101010000011…
…101011100000
3202202010121210
4222003223200
510310300440
61032150120
7162466131
oct52035340
922663553
1011025120
116250377
123838340
132390352
14166dc88
15e7ba80
hexa83ae0

11025120 has 96 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 2898432.

The previous prime is 11025107. The next prime is 11025121. The reversal of 11025120 is 2152011.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11025096 and 11025105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11025121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49329 + ... + 49551.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 211025120 is an apocalyptic number.

11025120 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 11025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

11025120 is an abundant number, since it is smaller than the sum of its proper divisors (24198432).

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

11025120 is a wasteful number, since it uses less digits than its factorization.

11025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11025120 is about 3320.4096132857. The cubic root of 11025120 is about 222.5671724132.

Adding to 11025120 its reverse (2152011), we get a palindrome (13177131).

The spelling of 11025120 in words is "eleven million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 223 240 309 412 446 480 515 618 669 824 892 1030 1115 1236 1338 1545 1648 1784 2060 2230 2472 2676 3090 3296 3345 3568 4120 4460 4944 5352 6180 6690 7136 8240 8920 9888 10704 12360 13380 16480 17840 21408 22969 24720 26760 35680 45938 49440 53520 68907 91876 107040 114845 137814 183752 229690 275628 344535 367504 459380 551256 689070 735008 918760 1102512 1378140 1837520 2205024 2756280 3675040 5512560 11025120