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13208790 = 2357312029
BaseRepresentation
bin110010011000…
…110011010110
3220212002001110
4302120303112
511340140130
61151035450
7220162410
oct62306326
926762043
1013208790
117501a61
12450bb86
13297626a
141a7b9b0
15125dab0
hexc98cd6

13208790 has 64 divisors (see below), whose sum is σ = 37416960. Its totient is φ = 2920320.

The previous prime is 13208777. The next prime is 13208791. The reversal of 13208790 is 9780231.

It is a happy number.

13208790 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13208791) 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, 5496 + ... + 7524.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 213208790 is an apocalyptic number.

13208790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13208790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708480).

13208790 is an abundant number, since it is smaller than the sum of its proper divisors (24208170).

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

13208790 is a wasteful number, since it uses less digits than its factorization.

13208790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13208790 is about 3634.3899075361. The cubic root of 13208790 is about 236.3855972513.

The spelling of 13208790 in words is "thirteen million, two hundred eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2029 2170 3255 4058 6087 6510 10145 12174 14203 20290 28406 30435 42609 60870 62899 71015 85218 125798 142030 188697 213045 314495 377394 426090 440293 628990 880586 943485 1320879 1886970 2201465 2641758 4402930 6604395 13208790