Search a number
-
+
102030210 = 23251736553
BaseRepresentation
bin1100001010011…
…01101110000010
321002222200010200
412011031232002
5202104431320
614042510030
72346146112
oct605155602
9232880120
10102030210
1152658897
122a205316
13181a4909
14d79d042
158e56290
hex614db82

102030210 has 48 divisors (see below), whose sum is σ = 266852664. Its totient is φ = 27046656.

The previous prime is 102030193. The next prime is 102030217. The reversal of 102030210 is 12030201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92794689 + 9235521 = 9633^2 + 3039^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102030192 and 102030201.

It is not an unprimeable number, because it can be changed into a prime (102030217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12294 + ... + 18846.

Almost surely, 2102030210 is an apocalyptic number.

102030210 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 102030210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133426332).

102030210 is an abundant number, since it is smaller than the sum of its proper divisors (164822454).

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

102030210 is a wasteful number, since it uses less digits than its factorization.

102030210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102030210 is about 10101.0004455004. Note that the first 3 decimals coincide. The cubic root of 102030210 is about 467.2789960767.

Adding to 102030210 its reverse (12030201), we get a palindrome (114060411).

Subtracting from 102030210 its reverse (12030201), we obtain a palindrome (90000009).

The spelling of 102030210 in words is "one hundred two million, thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 6553 7785 13106 15570 19659 32765 39318 58977 65530 98295 117954 196590 294885 589770 1133669 2267338 3401007 5668345 6802014 10203021 11336690 17005035 20406042 34010070 51015105 102030210