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102020220 = 223251075297
BaseRepresentation
bin1100001010010…
…11010001111100
321002222011102200
412011023101330
5202104121340
614042351500
72346105021
oct605132174
9232864380
10102020220
1152651335
122a1bb590
13181a01c3
14d799548
158e53330
hex614b47c

102020220 has 72 divisors (see below), whose sum is σ = 312412464. Its totient is φ = 26946048.

The previous prime is 102020189. The next prime is 102020227. The reversal of 102020220 is 22020201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020227) 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 23 ways as a sum of consecutive naturals, for example, 16612 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (4339062).

Almost surely, 2102020220 is an apocalyptic number.

102020220 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 102020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156206232).

102020220 is an abundant number, since it is smaller than the sum of its proper divisors (210392244).

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

102020220 is a wasteful number, since it uses less digits than its factorization.

102020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102020220 is about 10100.5059279226. The cubic root of 102020220 is about 467.2637448110.

Adding to 102020220 its reverse (22020201), we get a palindrome (124040421).

The spelling of 102020220 in words is "one hundred two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 5297 6420 9630 10594 15891 19260 21188 26485 31782 47673 52970 63564 79455 95346 105940 158910 190692 238365 317820 476730 566779 953460 1133558 1700337 2267116 2833895 3400674 5101011 5667790 6801348 8501685 10202022 11335580 17003370 20404044 25505055 34006740 51010110 102020220