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21214620 = 223257113149
BaseRepresentation
bin101000011101…
…1010110011100
31110220210222200
41100323112130
520412331440
62034411500
7345215130
oct120732634
943823880
1021214620
1110a7a949
127130b90
13451a23b
142b633c0
151ce0c30
hex143b59c

21214620 has 144 divisors (see below), whose sum is σ = 74692800. Its totient is φ = 4773888.

The previous prime is 21214619. The next prime is 21214643. The reversal of 21214620 is 2641212.

21214620 is a `hidden beast` number, since 21 + 21 + 4 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21214593 and 21214602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142306 + ... + 142454.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 221214620 is an apocalyptic number.

21214620 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 21214620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).

21214620 is an abundant number, since it is smaller than the sum of its proper divisors (53478180).

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

21214620 is a wasteful number, since it uses less digits than its factorization.

21214620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21214620 is about 4605.9331302137. The cubic root of 21214620 is about 276.8291073615.

Adding to 21214620 its reverse (2641212), we get a palindrome (23855832).

The spelling of 21214620 in words is "twenty-one million, two hundred fourteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 113 126 140 149 180 210 226 252 298 315 339 420 447 452 565 596 630 678 745 791 894 1017 1043 1130 1260 1341 1356 1490 1582 1695 1788 2034 2086 2235 2260 2373 2682 2980 3129 3164 3390 3955 4068 4172 4470 4746 5085 5215 5364 6258 6705 6780 7119 7910 8940 9387 9492 10170 10430 11865 12516 13410 14238 15645 15820 16837 18774 20340 20860 23730 26820 28476 31290 33674 35595 37548 46935 47460 50511 62580 67348 71190 84185 93870 101022 117859 142380 151533 168370 187740 202044 235718 252555 303066 336740 353577 471436 505110 589295 606132 707154 757665 1010220 1060731 1178590 1414308 1515330 1767885 2121462 2357180 3030660 3535770 4242924 5303655 7071540 10607310 21214620