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21316640 = 255172461
BaseRepresentation
bin101000101010…
…0010000100000
31111002222221012
41101110100200
520424113030
62040520052
7346121432
oct121242040
944088835
1021316640
111103a564
127180028
1345547c7
142b8c652
151d11095
hex1454420

21316640 has 72 divisors (see below), whose sum is σ = 53613252. Its totient is φ = 8007680.

The previous prime is 21316639. The next prime is 21316643. The reversal of 21316640 is 4661312.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13454224 + 7862416 = 3668^2 + 2804^2 .

It is not an unprimeable number, because it can be changed into a prime (21316643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46010 + ... + 46470.

Almost surely, 221316640 is an apocalyptic number.

21316640 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 21316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26806626).

21316640 is an abundant number, since it is smaller than the sum of its proper divisors (32296612).

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

21316640 is a wasteful number, since it uses less digits than its factorization.

21316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 21316640 is about 4616.9946935209. The cubic root of 21316640 is about 277.2721501702.

Adding to 21316640 its reverse (4661312), we get a palindrome (25977952).

The spelling of 21316640 in words is "twenty-one million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 461 544 578 680 922 1156 1360 1445 1844 2305 2312 2720 2890 3688 4610 4624 5780 7376 7837 9220 9248 11560 14752 15674 18440 23120 31348 36880 39185 46240 62696 73760 78370 125392 133229 156740 250784 266458 313480 532916 626960 666145 1065832 1253920 1332290 2131664 2664580 4263328 5329160 10658320 21316640