Search a number
-
+
78030300 = 22352298969
BaseRepresentation
bin1001010011010…
…10010111011100
312102211100110010
410221222113130
5124433432200
611424243220
71635150405
oct451522734
9172740403
1078030300
1140056357
1222170510
131322099a
14a5129ac
156cb5150
hex4a6a5dc

78030300 has 72 divisors (see below), whose sum is σ = 233578800. Its totient is φ = 20088320.

The previous prime is 78030233. The next prime is 78030311. The reversal of 78030300 is 303087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4216 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (3244150).

Almost surely, 278030300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789400).

78030300 is an abundant number, since it is smaller than the sum of its proper divisors (155548500).

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

78030300 is a wasteful number, since it uses less digits than its factorization.

78030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 78030300 is about 8833.4760994752. The cubic root of 78030300 is about 427.3211864596.

Adding to 78030300 its reverse (303087), we get a palindrome (78333387).

The spelling of 78030300 in words is "seventy-eight million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 8969 17938 26907 35876 44845 53814 89690 107628 134535 179380 224225 260101 269070 448450 520202 538140 672675 780303 896900 1040404 1300505 1345350 1560606 2601010 2690700 3121212 3901515 5202020 6502525 7803030 13005050 15606060 19507575 26010100 39015150 78030300