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11393856 = 2632131151
BaseRepresentation
bin101011011101…
…101101000000
3210102212102200
4223131231000
510404100411
61044113200
7165563145
oct53355500
923385380
1011393856
116482411
123995800
13248c136
1417283cc
151000e56
hexaddb40

11393856 has 84 divisors (see below), whose sum is σ = 33125664. Its totient is φ = 3744000.

The previous prime is 11393849. The next prime is 11393857. The reversal of 11393856 is 65839311.

It is a happy number.

11393856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11393856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75381 + ... + 75531.

Almost surely, 211393856 is an apocalyptic number.

11393856 is a gapful number since it is divisible by the number (16) 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 11393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562832).

11393856 is an abundant number, since it is smaller than the sum of its proper divisors (21731808).

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

11393856 is a wasteful number, since it uses less digits than its factorization.

11393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11393856 is about 3375.4786327275. The cubic root of 11393856 is about 225.0212720629.

The spelling of 11393856 in words is "eleven million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 151 192 262 288 302 393 453 524 576 604 786 906 1048 1179 1208 1359 1572 1812 2096 2358 2416 2718 3144 3624 4192 4716 4832 5436 6288 7248 8384 9432 9664 10872 12576 14496 18864 19781 21744 25152 28992 37728 39562 43488 59343 75456 79124 86976 118686 158248 178029 237372 316496 356058 474744 632992 712116 949488 1265984 1424232 1898976 2848464 3797952 5696928 11393856