Search a number
-
+
6300675072 = 2103525321
BaseRepresentation
bin1011101111000110…
…01010110000000000
3121021002211110100000
411313203022300000
5100400433100242
62521113200000
7312064566036
oct56743126000
917232743300
106300675072
11274362648a
12127a100000
13795471c03
1443ab1a556
1526d22ba4c
hex1778cac00

6300675072 has 132 divisors (see below), whose sum is σ = 18867624776. Its totient is φ = 2100142080.

The previous prime is 6300675071. The next prime is 6300675083. The reversal of 6300675072 is 2705760036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6300675071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236172 + ... + 261492.

Almost surely, 26300675072 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 6300675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9433812388).

6300675072 is an abundant number, since it is smaller than the sum of its proper divisors (12566949704).

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

6300675072 is an equidigital number, since it uses as much as digits as its factorization.

6300675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25356 (or 25326 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 6300675072 is about 79376.7917719027. The cubic root of 6300675072 is about 1846.9807163687.

The spelling of 6300675072 in words is "six billion, three hundred million, six hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 25321 27648 31104 41472 50642 62208 75963 82944 101284 124416 151926 202568 227889 248832 303852 405136 455778 607704 683667 810272 911556 1215408 1367334 1620544 1823112 2051001 2430816 2734668 3241088 3646224 4102002 4861632 5469336 6153003 6482176 7292448 8204004 9723264 10938672 12306006 12964352 14584896 16408008 19446528 21877344 24612012 25928704 29169792 32816016 38893056 43754688 49224024 58339584 65632032 77786112 87509376 98448048 116679168 131264064 175018752 196896096 233358336 262528128 350037504 393792192 525056256 700075008 787584384 1050112512 1575168768 2100225024 3150337536 6300675072