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21305520 = 24325127233
BaseRepresentation
bin101000101000…
…1100010110000
31111002102200100
41101101202300
520423234040
62040352400
7346044135
oct121214260
944072610
1021305520
1111032175
127175700
13454c722
142b8858c
151d0cb30
hex14518b0

21305520 has 120 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 5612544.

The previous prime is 21305513. The next prime is 21305533. The reversal of 21305520 is 2550312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×213055203 (a number of 23 digits) contains 333 as substring.

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 = 21305493 and 21305502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91324 + ... + 91556.

Almost surely, 221305520 is an apocalyptic number.

21305520 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 21305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

21305520 is an abundant number, since it is smaller than the sum of its proper divisors (51118416).

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

21305520 is a wasteful number, since it uses less digits than its factorization.

21305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 21305520 is about 4615.7902898637. The cubic root of 21305520 is about 277.2239280207.

Adding to 21305520 its reverse (2550312), we get a palindrome (23855832).

The spelling of 21305520 in words is "twenty-one million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 233 240 254 360 381 466 508 635 699 720 762 932 1016 1143 1165 1270 1398 1524 1864 1905 2032 2097 2286 2330 2540 2796 3048 3495 3728 3810 4194 4572 4660 5080 5592 5715 6096 6990 7620 8388 9144 9320 10160 10485 11184 11430 13980 15240 16776 18288 18640 20970 22860 27960 29591 30480 33552 41940 45720 55920 59182 83880 88773 91440 118364 147955 167760 177546 236728 266319 295910 355092 443865 473456 532638 591820 710184 887730 1065276 1183640 1331595 1420368 1775460 2130552 2367280 2663190 3550920 4261104 5326380 7101840 10652760 21305520