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11428440 = 2335131727
BaseRepresentation
bin101011100110…
…001001011000
3210111121212120
4223212021120
510411202230
61044541240
7166066032
oct53461130
923447776
1011428440
1164a63a1
1239b1820
1324a1aba
141736c52
15100b310
hexae6258

11428440 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3020160.

The previous prime is 11428433. The next prime is 11428451. The reversal of 11428440 is 4482411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11428440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15357 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 211428440 is an apocalyptic number.

11428440 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 11428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11428440 is an abundant number, since it is smaller than the sum of its proper divisors (23166120).

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

11428440 is a wasteful number, since it uses less digits than its factorization.

11428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 11428440 is about 3380.5975803103. The cubic root of 11428440 is about 225.2487126287.

The spelling of 11428440 in words is "eleven million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 727 786 1048 1310 1454 1572 1965 2181 2620 2908 3144 3635 3930 4362 5240 5816 7270 7860 8724 10905 14540 15720 17448 21810 29080 43620 87240 95237 190474 285711 380948 476185 571422 761896 952370 1142844 1428555 1904740 2285688 2857110 3809480 5714220 11428440