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21325320 = 23325371601
BaseRepresentation
bin101000101011…
…0011000001000
31111010102211200
41101112120020
520424402240
62041024200
7346155642
oct121263010
944112750
1021325320
1111046035
127185060
134558743
142b91892
151d13930
hex1456608

21325320 has 96 divisors (see below), whose sum is σ = 71224920. Its totient is φ = 5529600.

The previous prime is 21325319. The next prime is 21325331. The reversal of 21325320 is 2352312.

21325320 is a `hidden beast` number, since 2 + 132 + 532 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20958084 + 367236 = 4578^2 + 606^2 .

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 = 21325293 and 21325302.

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, 12520 + ... + 14120.

Almost surely, 221325320 is an apocalyptic number.

21325320 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 21325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35612460).

21325320 is an abundant number, since it is smaller than the sum of its proper divisors (49899600).

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

21325320 is a wasteful number, since it uses less digits than its factorization.

21325320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 21325320 is about 4617.9346032615. The cubic root of 21325320 is about 277.3097795476.

Adding to 21325320 its reverse (2352312), we get a palindrome (23677632).

The spelling of 21325320 in words is "twenty-one million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1601 1665 2220 2664 3202 3330 4440 4803 6404 6660 8005 9606 12808 13320 14409 16010 19212 24015 28818 32020 38424 48030 57636 59237 64040 72045 96060 115272 118474 144090 177711 192120 236948 288180 296185 355422 473896 533133 576360 592370 710844 888555 1066266 1184740 1421688 1777110 2132532 2369480 2665665 3554220 4265064 5331330 7108440 10662660 21325320