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20708640 = 2532573197
BaseRepresentation
bin100111011111…
…1110100100000
31102222002220200
41032333310200
520300134030
62015505200
7341010021
oct116776440
942862820
1020708640
1110764787
126b28200
1343a0b44
142a70c48
151c40d60
hex13bfd20

20708640 has 144 divisors (see below), whose sum is σ = 71999928. Its totient is φ = 5419008.

The previous prime is 20708599. The next prime is 20708663. The reversal of 20708640 is 4680702.

It can be written as a sum of positive squares in 4 ways, for example, as 20466576 + 242064 = 4524^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105022 + ... + 105218.

Almost surely, 220708640 is an apocalyptic number.

20708640 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 20708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35999964).

20708640 is an abundant number, since it is smaller than the sum of its proper divisors (51291288).

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

20708640 is a wasteful number, since it uses less digits than its factorization.

20708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20708640 is about 4550.6746752542. The cubic root of 20708640 is about 274.6105340827.

The spelling of 20708640 in words is "twenty million, seven hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 197 219 240 288 292 360 365 394 438 480 584 591 657 720 730 788 876 985 1095 1168 1182 1314 1440 1460 1576 1752 1773 1970 2190 2336 2364 2628 2920 2955 3152 3285 3504 3546 3940 4380 4728 5256 5840 5910 6304 6570 7008 7092 7880 8760 8865 9456 10512 11680 11820 13140 14184 14381 15760 17520 17730 18912 21024 23640 26280 28368 28762 31520 35040 35460 43143 47280 52560 56736 57524 70920 71905 86286 94560 105120 115048 129429 141840 143810 172572 215715 230096 258858 283680 287620 345144 431430 460192 517716 575240 647145 690288 862860 1035432 1150480 1294290 1380576 1725720 2070864 2300960 2588580 3451440 4141728 5177160 6902880 10354320 20708640