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20704680 = 23335191009
BaseRepresentation
bin100111011111…
…0110110101000
31102221220111000
41032332312220
520300022210
62015435000
7340662333
oct116766650
942856430
1020704680
1110761807
126b25a60
13439c0b9
142a6d61a
151c3eac0
hex13beda8

20704680 has 128 divisors (see below), whose sum is σ = 72720000. Its totient is φ = 5225472.

The previous prime is 20704639. The next prime is 20704687. The reversal of 20704680 is 8640702.

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

It is not an unprimeable number, because it can be changed into a prime (20704687) 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, 20016 + ... + 21024.

It is an arithmetic number, because the mean of its divisors is an integer number (568125).

Almost surely, 220704680 is an apocalyptic number.

20704680 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 20704680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360000).

20704680 is an abundant number, since it is smaller than the sum of its proper divisors (52015320).

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

20704680 is a wasteful number, since it uses less digits than its factorization.

20704680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

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

The square root of 20704680 is about 4550.2395541334. The cubic root of 20704680 is about 274.5930288766.

The spelling of 20704680 in words is "twenty million, seven hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1009 1026 1080 1140 1368 1710 2018 2052 2280 2565 3027 3420 4036 4104 5045 5130 6054 6840 8072 9081 10090 10260 12108 15135 18162 19171 20180 20520 24216 27243 30270 36324 38342 40360 45405 54486 57513 60540 72648 76684 90810 95855 108972 115026 121080 136215 153368 172539 181620 191710 217944 230052 272430 287565 345078 363240 383420 460104 517617 544860 575130 690156 766840 862695 1035234 1089720 1150260 1380312 1725390 2070468 2300520 2588085 3450780 4140936 5176170 6901560 10352340 20704680