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11364496 = 2411134967
BaseRepresentation
bin101011010110…
…100010010000
3210101101011021
4223112202100
510402130441
61043325224
7165411433
oct53264220
923341137
1011364496
116462350
123980814
13247b970
14171b81a
15ee73d1
hexad6890

11364496 has 40 divisors (see below), whose sum is σ = 25873344. Its totient is φ = 4767360.

The previous prime is 11364481. The next prime is 11364497. The reversal of 11364496 is 69446311.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11364497) 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, 196 + ... + 4771.

Almost surely, 211364496 is an apocalyptic number.

11364496 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 11364496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936672).

11364496 is an abundant number, since it is smaller than the sum of its proper divisors (14508848).

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

11364496 is a wasteful number, since it uses less digits than its factorization.

11364496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4993 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 11364496 is about 3371.1268145829. The cubic root of 11364496 is about 224.8278254839.

The spelling of 11364496 in words is "eleven million, three hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4967 9934 19868 39736 54637 64571 79472 109274 129142 218548 258284 437096 516568 710281 874192 1033136 1420562 2841124 5682248 11364496