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11243040 = 253559397
BaseRepresentation
bin101010111000…
…111000100000
3210011012112220
4222320320200
510334234130
61040551040
7164364354
oct52707040
923135486
1011243040
11638a076
123922480
1324385b3
1416c9464
15ec1410
hexab8e20

11243040 has 96 divisors (see below), whose sum is σ = 36106560. Its totient is φ = 2939904.

The previous prime is 11243009. The next prime is 11243047. The reversal of 11243040 is 4034211.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243047) 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, 28122 + ... + 28518.

It is an arithmetic number, because the mean of its divisors is an integer number (376110).

Almost surely, 211243040 is an apocalyptic number.

11243040 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 11243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053280).

11243040 is an abundant number, since it is smaller than the sum of its proper divisors (24863520).

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

11243040 is a wasteful number, since it uses less digits than its factorization.

11243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11243040 is about 3353.0642701863. The cubic root of 11243040 is about 224.0240195331.

Adding to 11243040 its reverse (4034211), we get a palindrome (15277251).

The spelling of 11243040 in words is "eleven million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 397 472 480 590 708 794 885 944 1180 1191 1416 1588 1770 1888 1985 2360 2382 2832 3176 3540 3970 4720 4764 5664 5955 6352 7080 7940 9440 9528 11910 12704 14160 15880 19056 23423 23820 28320 31760 38112 46846 47640 63520 70269 93692 95280 117115 140538 187384 190560 234230 281076 351345 374768 468460 562152 702690 749536 936920 1124304 1405380 1873840 2248608 2810760 3747680 5621520 11243040