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11404000 = 25532851
BaseRepresentation
bin101011100000…
…001011100000
3210110101100101
4223200023200
510404412000
61044232144
7165634546
oct53401340
923411311
1011404000
116489aa3
12399b654
13249393a
14172bd96
151003e6a
hexae02e0

11404000 has 48 divisors (see below), whose sum is σ = 28029456. Its totient is φ = 4560000.

The previous prime is 11403967. The next prime is 11404007. The reversal of 11404000 is 40411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2575 + ... + 5425.

It is an arithmetic number, because the mean of its divisors is an integer number (583947).

Almost surely, 211404000 is an apocalyptic number.

11404000 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 11404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014728).

11404000 is an abundant number, since it is smaller than the sum of its proper divisors (16625456).

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

11404000 is an equidigital number, since it uses as much as digits as its factorization.

11404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11404000 is about 3376.9809001533. The cubic root of 11404000 is about 225.0880313968.

Adding to 11404000 its reverse (40411), we get a palindrome (11444411).

The spelling of 11404000 in words is "eleven million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2851 4000 5702 11404 14255 22808 28510 45616 57020 71275 91232 114040 142550 228080 285100 356375 456160 570200 712750 1140400 1425500 2280800 2851000 5702000 11404000