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11316496 = 24294
BaseRepresentation
bin101011001010…
…110100010000
3210021221022111
4223022310100
510344111441
61042315104
7165121462
oct53126420
923257274
1011316496
11642a284
123958a94
132462b69
141708132
15ed8081
hexacad10

11316496 has 25 divisors (see below), whose sum is σ = 22708771. Its totient is φ = 5463136.

The previous prime is 11316491. The next prime is 11316521. The reversal of 11316496 is 69461311.

The square root of 11316496 is 3364.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 11289600 = 164^2 + 3360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11316491) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 390210 + ... + 390238.

Almost surely, 211316496 is an apocalyptic number.

11316496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11316496 is the 3364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11316496

11316496 is an abundant number, since it is smaller than the sum of its proper divisors (11392275).

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

11316496 is an frugal number, since it uses more digits than its factorization.

11316496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 31 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The cubic root of 11316496 is about 224.5108451564.

The spelling of 11316496 in words is "eleven million, three hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 24389 48778 97556 195112 390224 707281 1414562 2829124 5658248 11316496