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11243120 = 2457171181
BaseRepresentation
bin101010111000…
…111001110000
3210011012122212
4222320321300
510334234440
61040551252
7164364530
oct52707160
923135585
1011243120
11638a139
123922528
132438645
1416c94c0
15ec1465
hexab8e70

11243120 has 80 divisors (see below), whose sum is σ = 31658688. Its totient is φ = 3624960.

The previous prime is 11243119. The next prime is 11243131. The reversal of 11243120 is 2134211.

11243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11243095 and 11243104.

It is a congruent number.

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, 8930 + ... + 10110.

Almost surely, 211243120 is an apocalyptic number.

11243120 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 11243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829344).

11243120 is an abundant number, since it is smaller than the sum of its proper divisors (20415568).

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

11243120 is a wasteful number, since it uses less digits than its factorization.

11243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11243120 is about 3353.0761995517. The cubic root of 11243120 is about 224.0245508805.

Adding to 11243120 its reverse (2134211), we get a palindrome (13377331).

The spelling of 11243120 in words is "eleven million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1181 1190 1360 1904 2362 2380 4724 4760 5905 8267 9448 9520 11810 16534 18896 20077 23620 33068 40154 41335 47240 66136 80308 82670 94480 100385 132272 140539 160616 165340 200770 281078 321232 330680 401540 562156 661360 702695 803080 1124312 1405390 1606160 2248624 2810780 5621560 11243120