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21684520 = 235111317223
BaseRepresentation
bin101001010111…
…0000100101000
31111210200120101
41102232010220
521022401040
62052435144
7352213114
oct122560450
944720511
1021684520
11112709a0
127318ab4
1346530a0
142c46744
151d8509a
hex14ae128

21684520 has 128 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 6819840.

The previous prime is 21684517. The next prime is 21684521. The reversal of 21684520 is 2548612.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21684521) 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, 97129 + ... + 97351.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 221684520 is an apocalyptic number.

21684520 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 21684520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

21684520 is an abundant number, since it is smaller than the sum of its proper divisors (39279320).

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

21684520 is a wasteful number, since it uses less digits than its factorization.

21684520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 21684520 is about 4656.6640419940. The cubic root of 21684520 is about 278.8581045569.

The spelling of 21684520 in words is "twenty-one million, six hundred eighty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 170 187 220 221 223 260 286 340 374 440 442 446 520 572 680 715 748 884 892 935 1105 1115 1144 1430 1496 1768 1784 1870 2210 2230 2431 2453 2860 2899 3740 3791 4420 4460 4862 4906 5720 5798 7480 7582 8840 8920 9724 9812 11596 12155 12265 14495 15164 18955 19448 19624 23192 24310 24530 28990 30328 31889 37910 41701 48620 49060 49283 57980 63778 75820 83402 97240 98120 98566 115960 127556 151640 159445 166804 197132 208505 246415 255112 318890 333608 394264 417010 492830 542113 637780 834020 985660 1084226 1275560 1668040 1971320 2168452 2710565 4336904 5421130 10842260 21684520