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11080320 = 273529199
BaseRepresentation
bin101010010001…
…001010000000
3202211221100020
4222101022000
510314032240
61033253440
7163116066
oct52211200
922757306
1011080320
116288899
123864280
1323ac504
141686036
15e8d0d0
hexa91280

11080320 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 2838528.

The previous prime is 11080313. The next prime is 11080327. The reversal of 11080320 is 2308011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11080313) and next prime (11080327).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11080320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080327) 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, 55581 + ... + 55779.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 211080320 is an apocalyptic number.

11080320 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 11080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

11080320 is an abundant number, since it is smaller than the sum of its proper divisors (25639680).

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

11080320 is a wasteful number, since it uses less digits than its factorization.

11080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11080320 is about 3328.7114624130. The cubic root of 11080320 is about 222.9380001516.

Adding to 11080320 its reverse (2308011), we get a palindrome (13388331).

The spelling of 11080320 in words is "eleven million, eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 199 232 240 290 320 348 384 398 435 464 480 580 597 640 696 796 870 928 960 995 1160 1194 1392 1592 1740 1856 1920 1990 2320 2388 2784 2985 3184 3480 3712 3980 4640 4776 5568 5771 5970 6368 6960 7960 9280 9552 11136 11542 11940 12736 13920 15920 17313 18560 19104 23084 23880 25472 27840 28855 31840 34626 38208 46168 47760 55680 57710 63680 69252 76416 86565 92336 95520 115420 127360 138504 173130 184672 191040 230840 277008 346260 369344 382080 461680 554016 692520 738688 923360 1108032 1385040 1846720 2216064 2770080 3693440 5540160 11080320