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21021520 = 24513172941
BaseRepresentation
bin101000000110…
…0001101010000
31110120000002211
41100030031100
520340142040
62030321504
7343452142
oct120141520
943500084
1021021520
1110958863
127059294
134480390
142b12c92
151ca38ea
hex140c350

21021520 has 160 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 6881280.

The previous prime is 21021499. The next prime is 21021529. The reversal of 21021520 is 2512012.

It can be written as a sum of positive squares in 16 ways, for example, as 10419984 + 10601536 = 3228^2 + 3256^2 .

It is a super-2 number, since 2×210215202 = 883808606220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 21021520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021529) 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, 512700 + ... + 512740.

It is an arithmetic number, because the mean of its divisors is an integer number (369117).

Almost surely, 221021520 is an apocalyptic number.

21021520 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 21021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

21021520 is an abundant number, since it is smaller than the sum of its proper divisors (38037200).

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

21021520 is a wasteful number, since it uses less digits than its factorization.

21021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 21021520 is about 4584.9231182213. The cubic root of 21021520 is about 275.9866268112.

Adding to 21021520 its reverse (2512012), we get a palindrome (23533532).

The spelling of 21021520 in words is "twenty-one million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 29 34 40 41 52 58 65 68 80 82 85 104 116 130 136 145 164 170 205 208 221 232 260 272 290 328 340 377 410 442 464 493 520 533 580 656 680 697 754 820 884 986 1040 1066 1105 1160 1189 1360 1394 1508 1640 1768 1885 1972 2132 2210 2320 2378 2465 2665 2788 3016 3280 3485 3536 3770 3944 4264 4420 4756 4930 5330 5576 5945 6032 6409 6970 7540 7888 8528 8840 9061 9512 9860 10660 11152 11890 12818 13940 15080 15457 17680 18122 19024 19720 20213 21320 23780 25636 27880 30160 30914 32045 36244 39440 40426 42640 45305 47560 51272 55760 61828 64090 72488 77285 80852 90610 95120 101065 102544 123656 128180 144976 154570 161704 181220 202130 247312 256360 262769 309140 323408 362440 404260 512720 525538 618280 724880 808520 1051076 1236560 1313845 1617040 2102152 2627690 4204304 5255380 10510760 21021520