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21328110 = 235567131
BaseRepresentation
bin101000101011…
…1000011101110
31111010120200000
41101113003232
520424444420
62041045130
7346200036
oct121270356
944116600
1021328110
1111048141
1271867a6
134559aab
142b928c6
151d14690
hex14570ee

21328110 has 96 divisors (see below), whose sum is σ = 58810752. Its totient is φ = 5559840.

The previous prime is 21328103. The next prime is 21328117. The reversal of 21328110 is 1182312.

It is an interprime number because it is at equal distance from previous prime (21328103) and next prime (21328117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21328117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162745 + ... + 162875.

It is an arithmetic number, because the mean of its divisors is an integer number (612612).

Almost surely, 221328110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21328110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405376).

21328110 is an abundant number, since it is smaller than the sum of its proper divisors (37482642).

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

21328110 is a wasteful number, since it uses less digits than its factorization.

21328110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 21328110 is about 4618.2366764816. The cubic root of 21328110 is about 277.3218725360.

The spelling of 21328110 in words is "twenty-one million, three hundred twenty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 81 90 131 134 135 162 201 243 262 270 335 393 402 405 486 603 655 670 786 810 1005 1179 1206 1215 1310 1809 1965 2010 2358 2430 3015 3537 3618 3930 5427 5895 6030 7074 8777 9045 10611 10854 11790 16281 17554 17685 18090 21222 26331 27135 31833 32562 35370 43885 52662 53055 54270 63666 78993 81405 87770 106110 131655 157986 159165 162810 236979 263310 318330 394965 473958 710937 789930 1184895 1421874 2132811 2369790 3554685 4265622 7109370 10664055 21328110