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20656080 = 2433573131
BaseRepresentation
bin100111011001…
…0111111010000
31102212102211000
41032302333100
520241443310
62014422000
7340400544
oct116627720
942772730
1020656080
1110729245
126b01900
134382c43
142a59a24
151c304c0
hex13b2fd0

20656080 has 160 divisors (see below), whose sum is σ = 72673920. Its totient is φ = 5391360.

The previous prime is 20656079. The next prime is 20656081. The reversal of 20656080 is 8065602.

20656080 is a `hidden beast` number, since 2 + 0 + 656 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20656079) and next prime (20656081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20656081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157615 + ... + 157745.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 220656080 is an apocalyptic number.

20656080 is a gapful number since it is divisible by the number (20) 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 20656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36336960).

20656080 is an abundant number, since it is smaller than the sum of its proper divisors (52017840).

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

20656080 is a wasteful number, since it uses less digits than its factorization.

20656080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20656080 is about 4544.8960384150. The cubic root of 20656080 is about 274.3780102340.

It can be divided in two parts, 20 and 656080, that added together give a square (656100 = 8102).

The spelling of 20656080 in words is "twenty million, six hundred fifty-six thousand, eighty".

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 73 80 90 108 120 131 135 144 146 180 216 219 240 262 270 292 360 365 393 432 438 524 540 584 655 657 720 730 786 876 1048 1080 1095 1168 1179 1310 1314 1460 1572 1752 1965 1971 2096 2160 2190 2358 2620 2628 2920 3144 3285 3504 3537 3930 3942 4380 4716 5240 5256 5840 5895 6288 6570 7074 7860 7884 8760 9432 9563 9855 10480 10512 11790 13140 14148 15720 15768 17520 17685 18864 19126 19710 23580 26280 28296 28689 31440 31536 35370 38252 39420 47160 47815 52560 56592 57378 70740 76504 78840 86067 94320 95630 114756 141480 143445 153008 157680 172134 191260 229512 258201 282960 286890 344268 382520 430335 459024 516402 573780 688536 765040 860670 1032804 1147560 1291005 1377072 1721340 2065608 2295120 2582010 3442680 4131216 5164020 6885360 10328040 20656080