Search a number
-
+
20302130320 = 2451714928037
BaseRepresentation
bin10010111010000110…
…011110110010010000
31221101220001002010121
4102322012132302100
5313034321132240
613154321040024
71316051155213
oct227206366220
957356032117
1020302130320
118679028aaa
123b27186014
131bb7170284
14da849177a
157dc54b04a
hex4ba19ec90

20302130320 has 40 divisors (see below), whose sum is σ = 49979071224. Its totient is φ = 7643154432.

The previous prime is 20302130281. The next prime is 20302130327. The reversal of 20302130320 is 2303120302.

It can be written as a sum of positive squares in 4 ways, for example, as 5608811664 + 14693318656 = 74892^2 + 121216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20302130294 and 20302130303.

It is not an unprimeable number, because it can be changed into a prime (20302130327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7462659 + ... + 7465378.

Almost surely, 220302130320 is an apocalyptic number.

20302130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20302130320 is an abundant number, since it is smaller than the sum of its proper divisors (29676940904).

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

20302130320 is a wasteful number, since it uses less digits than its factorization.

20302130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14928067 (or 14928061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20302130320 its reverse (2303120302), we get a palindrome (22605250622).

The spelling of 20302130320 in words is "twenty billion, three hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 14928037 29856074 59712148 74640185 119424296 149280370 238848592 253776629 298560740 507553258 597121480 1015106516 1194242960 1268883145 2030213032 2537766290 4060426064 5075532580 10151065160 20302130320