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13212720 = 243452039
BaseRepresentation
bin110010011001…
…110000110000
3220212021110000
4302121300300
511340301340
61151110000
7220210023
oct62316060
926767400
1013212720
117504a04
124512300
132977ca1
141a7d1ba
15125ed30
hexc99c30

13212720 has 100 divisors (see below), whose sum is σ = 45912240. Its totient is φ = 3521664.

The previous prime is 13212713. The next prime is 13212743. The reversal of 13212720 is 2721231.

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 = 13212693 and 13212702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5461 + ... + 7499.

Almost surely, 213212720 is an apocalyptic number.

13212720 is a gapful number since it is divisible by the number (10) 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 13212720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956120).

13212720 is an abundant number, since it is smaller than the sum of its proper divisors (32699520).

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

13212720 is a wasteful number, since it uses less digits than its factorization.

13212720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13212720 is about 3634.9305357874. The cubic root of 13212720 is about 236.4090387948.

Adding to 13212720 its reverse (2721231), we get a palindrome (15933951).

The spelling of 13212720 in words is "thirteen million, two hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2039 2160 3240 4078 6117 6480 8156 10195 12234 16312 18351 20390 24468 30585 32624 36702 40780 48936 55053 61170 73404 81560 91755 97872 110106 122340 146808 163120 165159 183510 220212 244680 275265 293616 330318 367020 440424 489360 550530 660636 734040 825795 880848 1101060 1321272 1468080 1651590 2202120 2642544 3303180 4404240 6606360 13212720