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21201480 = 2333567293
BaseRepresentation
bin101000011100…
…0001001001000
31110220010222000
41100320021020
520411421410
62034231000
7345131616
oct120701110
943803860
1021201480
1110a70a93
127125460
134514271
142b5c6b6
151cdbdc0
hex1438248

21201480 has 128 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 5550336.

The previous prime is 21201461. The next prime is 21201487. The reversal of 21201480 is 8410212.

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

It is not an unprimeable number, because it can be changed into a prime (21201487) 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, 72214 + ... + 72506.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 221201480 is an apocalyptic number.

21201480 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 21201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

21201480 is an abundant number, since it is smaller than the sum of its proper divisors (50769720).

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

21201480 is a wasteful number, since it uses less digits than its factorization.

21201480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21201480 is about 4604.5064882135. The cubic root of 21201480 is about 276.7719410341.

Adding to 21201480 its reverse (8410212), we get a palindrome (29611692).

It can be divided in two parts, 2120 and 1480, that added together give a square (3600 = 602).

The spelling of 21201480 in words is "twenty-one million, two hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 180 201 216 268 270 293 335 360 402 536 540 586 603 670 804 879 1005 1080 1172 1206 1340 1465 1608 1758 1809 2010 2344 2412 2637 2680 2930 3015 3516 3618 4020 4395 4824 5274 5860 6030 7032 7236 7911 8040 8790 9045 10548 11720 12060 13185 14472 15822 17580 18090 19631 21096 24120 26370 31644 35160 36180 39262 39555 52740 58893 63288 72360 78524 79110 98155 105480 117786 157048 158220 176679 196310 235572 294465 316440 353358 392620 471144 530037 588930 706716 785240 883395 1060074 1177860 1413432 1766790 2120148 2355720 2650185 3533580 4240296 5300370 7067160 10600740 21201480