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20793696 = 2537112997
BaseRepresentation
bin100111101010…
…0100101100000
31110010102120220
41033110211200
520310344241
62021403040
7341513010
oct117244540
943112526
1020793696
1110812680
126b69480
134400781
142a93c40
151c5b166
hex13d4960

20793696 has 192 divisors, whose sum is σ = 71124480. Its totient is φ = 5160960.

The previous prime is 20793691. The next prime is 20793697. The reversal of 20793696 is 69639702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20793691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214320 + ... + 214416.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 220793696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20793696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

20793696 is an abundant number, since it is smaller than the sum of its proper divisors (50330784).

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

20793696 is a wasteful number, since it uses less digits than its factorization.

20793696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 20793696 is about 4560.0105263036. The cubic root of 20793696 is about 274.9859871648.

It can be divided in two parts, 2079 and 3696, that multiplied together give a square (7683984 = 27722).

The spelling of 20793696 in words is "twenty million, seven hundred ninety-three thousand, six hundred ninety-six".