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21701680 = 24571113271
BaseRepresentation
bin101001011001…
…0010000110000
31111211120002221
41102302100300
521023423210
62053050424
7352314130
oct122622060
944746087
1021701680
1111282880
127326a14
13465ab40
142c4cac0
151d8a1da
hex14b2430

21701680 has 160 divisors (see below), whose sum is σ = 67995648. Its totient is φ = 6220800.

The previous prime is 21701651. The next prime is 21701683. The reversal of 21701680 is 8610712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21701683) 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, 79945 + ... + 80215.

Almost surely, 221701680 is an apocalyptic number.

21701680 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 21701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997824).

21701680 is an abundant number, since it is smaller than the sum of its proper divisors (46293968).

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

21701680 is a wasteful number, since it uses less digits than its factorization.

21701680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 21701680 is about 4658.5061983430. The cubic root of 21701680 is about 278.9316430900.

The spelling of 21701680 in words is "twenty-one million, seven hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 271 280 286 308 364 385 440 455 520 542 560 572 616 715 728 770 880 910 1001 1040 1084 1144 1232 1355 1430 1456 1540 1820 1897 2002 2168 2288 2710 2860 2981 3080 3523 3640 3794 4004 4336 5005 5420 5720 5962 6160 7046 7280 7588 8008 9485 10010 10840 11440 11924 14092 14905 15176 16016 17615 18970 20020 20867 21680 23848 24661 28184 29810 30352 35230 37940 38753 40040 41734 47696 49322 56368 59620 70460 75880 77506 80080 83468 98644 104335 119240 123305 140920 151760 155012 166936 193765 197288 208670 238480 246610 271271 281840 310024 333872 387530 394576 417340 493220 542542 620048 775060 834680 986440 1085084 1356355 1550120 1669360 1972880 2170168 2712710 3100240 4340336 5425420 10850840 21701680