Search a number
-
+
5127995700 = 22325235316141
BaseRepresentation
bin1001100011010011…
…10000000100110100
3111020101020011122200
410301221300010310
541000231330300
62204502424500
7241035146532
oct46151600464
914211204580
105127995700
1121a1690083
12bb1432130
13639524ca9
1436909d152
152002db200
hex131a70134

5127995700 has 108 divisors (see below), whose sum is σ = 16119950028. Its totient is φ = 1363507200.

The previous prime is 5127995699. The next prime is 5127995737. The reversal of 5127995700 is 75997215.

5127995700 is a `hidden beast` number, since 5 + 1 + 2 + 79 + 9 + 570 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 278823204 + 4849172496 = 16698^2 + 69636^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 309630 + ... + 325770.

Almost surely, 25127995700 is an apocalyptic number.

5127995700 is a gapful number since it is divisible by the number (50) 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 5127995700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059975014).

5127995700 is an abundant number, since it is smaller than the sum of its proper divisors (10991954328).

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

5127995700 is a wasteful number, since it uses less digits than its factorization.

5127995700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16514 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 5127995700 is about 71610.0251361498. The cubic root of 5127995700 is about 1724.4444840078. Note that the first 4 decimals are identical.

The spelling of 5127995700 in words is "five billion, one hundred twenty-seven million, nine hundred ninety-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 353 450 706 900 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 8825 10590 12708 15885 16141 17650 21180 26475 31770 32282 35300 48423 52950 63540 64564 79425 80705 96846 105900 145269 158850 161410 193692 242115 290538 317700 322820 403525 484230 581076 726345 807050 968460 1210575 1452690 1614100 2421150 2905380 3631725 4842300 5697773 7263450 11395546 14526900 17093319 22791092 28488865 34186638 51279957 56977730 68373276 85466595 102559914 113955460 142444325 170933190 205119828 256399785 284888650 341866380 427332975 512799570 569777300 854665950 1025599140 1281998925 1709331900 2563997850 5127995700