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21519420 = 22351347587
BaseRepresentation
bin101001000010…
…1110000111100
31111111022002120
41102011300330
521002110140
62045122540
7350624556
oct122056074
944438076
1021519420
111116894a
127259450
1345c5bb0
142c024d6
151d511d0
hex1485c3c

21519420 has 96 divisors (see below), whose sum is σ = 66382848. Its totient is φ = 5175552.

The previous prime is 21519413. The next prime is 21519427. The reversal of 21519420 is 2491512.

It is an interprime number because it is at equal distance from previous prime (21519413) and next prime (21519427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21519427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36367 + ... + 36953.

It is an arithmetic number, because the mean of its divisors is an integer number (691488).

Almost surely, 221519420 is an apocalyptic number.

21519420 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 21519420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33191424).

21519420 is an abundant number, since it is smaller than the sum of its proper divisors (44863428).

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

21519420 is a wasteful number, since it uses less digits than its factorization.

21519420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 21519420 is about 4638.9028875371. The cubic root of 21519420 is about 278.1485843738.

The spelling of 21519420 in words is "twenty-one million, five hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 587 611 705 780 940 1174 1222 1410 1761 1833 2348 2444 2820 2935 3055 3522 3666 5870 6110 7044 7332 7631 8805 9165 11740 12220 15262 17610 18330 22893 27589 30524 35220 36660 38155 45786 55178 76310 82767 91572 110356 114465 137945 152620 165534 228930 275890 331068 358657 413835 457860 551780 717314 827670 1075971 1434628 1655340 1793285 2151942 3586570 4303884 5379855 7173140 10759710 21519420