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11472240 = 2435133677
BaseRepresentation
bin101011110000…
…110101110000
3210120211221210
4223300311300
510414102430
61045520120
7166340523
oct53606560
923524853
1011472240
11652629a
123a13040
1324b8a10
141748bba
1510192b0
hexaf0d70

11472240 has 80 divisors (see below), whose sum is σ = 38310048. Its totient is φ = 2823168.

The previous prime is 11472233. The next prime is 11472269. The reversal of 11472240 is 4227411.

11472240 = T325 + T326 + ... + T468.

It is a happy number.

11472240 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 super-2 number, since 2×114722402 = 263224581235200, which contains 22 as substring.

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, 1282 + ... + 4958.

Almost surely, 211472240 is an apocalyptic number.

11472240 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 11472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155024).

11472240 is an abundant number, since it is smaller than the sum of its proper divisors (26837808).

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

11472240 is a wasteful number, since it uses less digits than its factorization.

11472240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11472240 is about 3387.0695298443. The cubic root of 11472240 is about 225.5361043333.

Adding to 11472240 its reverse (4227411), we get a palindrome (15699651).

The spelling of 11472240 in words is "eleven million, four hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3677 7354 11031 14708 18385 22062 29416 36770 44124 47801 55155 58832 73540 88248 95602 110310 143403 147080 176496 191204 220620 239005 286806 294160 382408 441240 478010 573612 717015 764816 882480 956020 1147224 1434030 1912040 2294448 2868060 3824080 5736120 11472240