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20896344 = 2332725923
BaseRepresentation
bin100111110110…
…1101001011000
31110022122101200
41033231221120
520322140334
62023514200
7342421200
oct117555130
943278350
1020896344
1110882807
126bb8960
134438401
142abd400
151c7b799
hex13eda58

20896344 has 72 divisors (see below), whose sum is σ = 65845260. Its totient is φ = 5969376.

The previous prime is 20896321. The next prime is 20896367. The reversal of 20896344 is 44369802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20896321) and next prime (20896367).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20896299 and 20896308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 567 + ... + 6489.

Almost surely, 220896344 is an apocalyptic number.

20896344 is a gapful number since it is divisible by the number (24) 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 20896344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32922630).

20896344 is an abundant number, since it is smaller than the sum of its proper divisors (44948916).

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

20896344 is a wasteful number, since it uses less digits than its factorization.

20896344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20896344 is about 4571.2519073007. The cubic root of 20896344 is about 275.4377337177.

The spelling of 20896344 in words is "twenty million, eight hundred ninety-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5923 11846 17769 23692 35538 41461 47384 53307 71076 82922 106614 124383 142152 165844 213228 248766 290227 331688 373149 426456 497532 580454 746298 870681 995064 1160908 1492596 1741362 2321816 2612043 2985192 3482724 5224086 6965448 10448172 20896344