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10663920 = 243354937
BaseRepresentation
bin101000101011…
…011111110000
3202001210011000
4220223133300
510212221140
61020322000
7156433101
oct50533760
922053130
1010663920
116023a63
1236a3300
132294b17
1415b83a8
15e09a30
hexa2b7f0

10663920 has 80 divisors (see below), whose sum is σ = 36738720. Its totient is φ = 2843136.

The previous prime is 10663903. The next prime is 10663931. The reversal of 10663920 is 2936601.

It is a happy number.

10663920 is a `hidden beast` number, since 1 + 0 + 6 + 639 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106639202 = 227438379532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (459234).

Almost surely, 210663920 is an apocalyptic number.

10663920 is a gapful number since it is divisible by the number (10) 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 10663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369360).

10663920 is an abundant number, since it is smaller than the sum of its proper divisors (26074800).

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

10663920 is a wasteful number, since it uses less digits than its factorization.

10663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10663920 is about 3265.5658008988. The cubic root of 10663920 is about 220.1095872762.

The spelling of 10663920 in words is "ten million, six hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4937 9874 14811 19748 24685 29622 39496 44433 49370 59244 74055 78992 88866 98740 118488 133299 148110 177732 197480 222165 236976 266598 296220 355464 394960 444330 533196 592440 666495 710928 888660 1066392 1184880 1332990 1777320 2132784 2665980 3554640 5331960 10663920