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11004240 = 2435133527
BaseRepresentation
bin101001111110…
…100101010000
3202201001222110
4221332211100
510304113430
61031505320
7162351222
oct51764520
922631873
1011004240
116236715
123828240
1323839b0
141666412
15e757b0
hexa7e950

11004240 has 80 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 2707968.

The previous prime is 11004233. The next prime is 11004263. The reversal of 11004240 is 4240011.

11004240 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 (12).

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, 1357 + ... + 4883.

Almost surely, 211004240 is an apocalyptic number.

11004240 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 11004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

11004240 is an abundant number, since it is smaller than the sum of its proper divisors (25743408).

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

11004240 is a wasteful number, since it uses less digits than its factorization.

11004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11004240 is about 3317.2639328217. The cubic root of 11004240 is about 222.4265801608.

Adding to 11004240 its reverse (4240011), we get a palindrome (15244251).

The spelling of 11004240 in words is "eleven million, four 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 3527 7054 10581 14108 17635 21162 28216 35270 42324 45851 52905 56432 70540 84648 91702 105810 137553 141080 169296 183404 211620 229255 275106 282160 366808 423240 458510 550212 687765 733616 846480 917020 1100424 1375530 1834040 2200848 2751060 3668080 5502120 11004240