Search a number
-
+
102328020 = 223254311319
BaseRepresentation
bin1100001100101…
…10011011010100
321010112210122200
412012112123110
5202143444040
614053124500
72351526264
oct606263324
9233483580
10102328020
1152841613
122a329730
131827a332
14d8397a4
158eb4630
hex61966d4

102328020 has 72 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 27203520.

The previous prime is 102328013. The next prime is 102328027. The reversal of 102328020 is 20823201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102328013) and next prime (102328027).

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 = 102327984 and 102328002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102328027) 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, 76921 + ... + 78239.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2102328020 is an apocalyptic number.

102328020 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 102328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

102328020 is an abundant number, since it is smaller than the sum of its proper divisors (209023020).

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

102328020 is a wasteful number, since it uses less digits than its factorization.

102328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102328020 is about 10115.7313131577. The cubic root of 102328020 is about 467.7331922123.

The spelling of 102328020 in words is "one hundred two million, three hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431 862 1293 1319 1724 2155 2586 2638 3879 3957 4310 5172 5276 6465 6595 7758 7914 8620 11871 12930 13190 15516 15828 19395 19785 23742 25860 26380 38790 39570 47484 59355 77580 79140 118710 237420 568489 1136978 1705467 2273956 2842445 3410934 5116401 5684890 6821868 8527335 10232802 11369780 17054670 20465604 25582005 34109340 51164010 102328020