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1363296 = 253111291
BaseRepresentation
bin101001100110101100000
32120021002110
411030311200
5322111141
645115320
714405424
oct5146540
92507073
101363296
118512a0
12558b40
133896ac
14276b84
151bde16
hex14cd60

1363296 has 48 divisors (see below), whose sum is σ = 3907008. Its totient is φ = 412800.

The previous prime is 1363277. The next prime is 1363301. The reversal of 1363296 is 6923631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (81396).

21363296 is an apocalyptic number.

1363296 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 1363296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504).

1363296 is an abundant number, since it is smaller than the sum of its proper divisors (2543712).

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

1363296 is a wasteful number, since it uses less digits than its factorization.

1363296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 1363296 is about 1167.6026721449. The cubic root of 1363296 is about 110.8825964256.

The spelling of 1363296 in words is "one million, three hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1291 2582 3873 5164 7746 10328 14201 15492 20656 28402 30984 41312 42603 56804 61968 85206 113608 123936 170412 227216 340824 454432 681648 1363296