Search a number
-
+
5127235440 = 2435236115227
BaseRepresentation
bin1001100011001101…
…10110011101110000
3111020022210112202220
410301212312131300
541000033013230
62204434241040
7241025532165
oct46146663560
914208715686
105127235440
1121a1210968
12bb1126180
13639319c32
14368d4206c
152001dad10
hex1319b6770

5127235440 has 160 divisors (see below), whose sum is σ = 16858492416. Its totient is φ = 1286292480.

The previous prime is 5127235439. The next prime is 5127235453. The reversal of 5127235440 is 445327215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329107 + ... + 344333.

Almost surely, 25127235440 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 5127235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429246208).

5127235440 is an abundant number, since it is smaller than the sum of its proper divisors (11731256976).

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

5127235440 is a wasteful number, since it uses less digits than its factorization.

5127235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15327 (or 15321 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5127235440 is about 71604.7166044249. The cubic root of 5127235440 is about 1724.3592596150.

The spelling of 5127235440 in words is "five billion, one hundred twenty-seven million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 61 69 80 92 115 120 122 138 183 184 230 240 244 276 305 345 366 368 460 488 552 610 690 732 915 920 976 1104 1220 1380 1403 1464 1830 1840 2440 2760 2806 2928 3660 4209 4880 5520 5612 7015 7320 8418 11224 14030 14640 15227 16836 21045 22448 28060 30454 33672 42090 45681 56120 60908 67344 76135 84180 91362 112240 121816 152270 168360 182724 228405 243632 304540 336720 350221 365448 456810 609080 700442 730896 913620 928847 1050663 1218160 1400884 1751105 1827240 1857694 2101326 2786541 2801768 3502210 3654480 3715388 4202652 4644235 5253315 5573082 5603536 7004420 7430776 8405304 9288470 10506630 11146164 13932705 14008840 14861552 16810608 18576940 21013260 21363481 22292328 27865410 28017680 37153880 42026520 42726962 44584656 55730820 64090443 74307760 84053040 85453924 106817405 111461640 128180886 170907848 213634810 222923280 256361772 320452215 341815696 427269620 512723544 640904430 854539240 1025447088 1281808860 1709078480 2563617720 5127235440