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11294400 = 2635213181
BaseRepresentation
bin101011000101…
…011011000000
3210020211000010
4223011123000
510342410100
61042024520
7165000165
oct53053300
923224003
1011294400
116414717
123948140
132455aa0
14170006c
15ed1750
hexac56c0

11294400 has 168 divisors, whose sum is σ = 40125904. Its totient is φ = 2764800.

The previous prime is 11294399. The next prime is 11294401. The reversal of 11294400 is 449211.

It is an interprime number because it is at equal distance from previous prime (11294399) and next prime (11294401).

It is not an unprimeable number, because it can be changed into a prime (11294401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62310 + ... + 62490.

Almost surely, 211294400 is an apocalyptic number.

11294400 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 11294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062952).

11294400 is an abundant number, since it is smaller than the sum of its proper divisors (28831504).

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

11294400 is a wasteful number, since it uses less digits than its factorization.

11294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11294400 is about 3360.7142098072. The cubic root of 11294400 is about 224.3646272261.

The spelling of 11294400 in words is "eleven million, two hundred ninety-four thousand, four hundred".