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11354000 = 24537811
BaseRepresentation
bin101011010011…
…111110010000
3210100211202112
4223103332100
510401312000
61043204452
7165336020
oct53237620
923324675
1011354000
116455479
123976728
132476c58
141717a80
15ee4235
hexad3f90

11354000 has 80 divisors (see below), whose sum is σ = 31414656. Its totient is φ = 3888000.

The previous prime is 11353987. The next prime is 11354009. The reversal of 11354000 is 45311.

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 (14).

It is not an unprimeable number, because it can be changed into a prime (11354009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13595 + ... + 14405.

Almost surely, 211354000 is an apocalyptic number.

11354000 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 11354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707328).

11354000 is an abundant number, since it is smaller than the sum of its proper divisors (20060656).

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

11354000 is an equidigital number, since it uses as much as digits as its factorization.

11354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11354000 is about 3369.5697054669. The cubic root of 11354000 is about 224.7585888099.

Adding to 11354000 its reverse (45311), we get a palindrome (11399311).

The spelling of 11354000 in words is "eleven million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 811 875 1000 1400 1622 1750 2000 2800 3244 3500 4055 5677 6488 7000 8110 11354 12976 14000 16220 20275 22708 28385 32440 40550 45416 56770 64880 81100 90832 101375 113540 141925 162200 202750 227080 283850 324400 405500 454160 567700 709625 811000 1135400 1419250 1622000 2270800 2838500 5677000 11354000