Search a number
-
+
6108230400 = 28352318137
BaseRepresentation
bin1011011000001010…
…00011001100000000
3120202200201020212120
411230011003030000
5100002201333100
62450040324240
7304240046616
oct55405031400
916680636776
106108230400
112654a339a8
121225773680
1376463181c
1441d3436b6
1525b3b60a0
hex16c143300

6108230400 has 108 divisors (see below), whose sum is σ = 20158496232. Its totient is φ = 1628856320.

The previous prime is 6108230393. The next prime is 6108230423. The reversal of 6108230400 is 40328016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139869 + ... + 178268.

Almost surely, 26108230400 is an apocalyptic number.

6108230400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6108230400 is an abundant number, since it is smaller than the sum of its proper divisors (14050265832).

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

6108230400 is a wasteful number, since it uses less digits than its factorization.

6108230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318166 (or 318147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6108230400 is about 78155.1687350235. The cubic root of 6108230400 is about 1827.9815303291.

Adding to 6108230400 its reverse (40328016), we get a palindrome (6148558416).

The spelling of 6108230400 in words is "six billion, one hundred eight million, two hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 318137 636274 954411 1272548 1590685 1908822 2545096 3181370 3817644 4772055 5090192 6362740 7635288 7953425 9544110 10180384 12725480 15270576 15906850 19088220 20360768 23860275 25450960 30541152 31813700 38176440 40721536 47720550 50901920 61082304 63627400 76352880 81443072 95441100 101803840 122164608 127254800 152705760 190882200 203607680 244329216 254509600 305411520 381764400 407215360 509019200 610823040 763528800 1018038400 1221646080 1527057600 2036076800 3054115200 6108230400