Search a number
-
+
2040253215 = 3571113177993
BaseRepresentation
bin111100110011011…
…1100101100011111
312021012002121020220
41321212330230133
513134301100330
6534241412423
7101362603050
oct17146745437
95235077226
102040253215
11957740490
1248b33a113
132668cc230
14154d76727
15be1b4710
hex799bcb1f

2040253215 has 128 divisors (see below), whose sum is σ = 4641380352. Its totient is φ = 736542720.

The previous prime is 2040253199. The next prime is 2040253219. The reversal of 2040253215 is 5123520402.

It is not a de Polignac number, because 2040253215 - 24 = 2040253199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040253219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251259 + ... + 259251.

It is an arithmetic number, because the mean of its divisors is an integer number (36260784).

Almost surely, 22040253215 is an apocalyptic number.

2040253215 is an abundant number, since it is smaller than the sum of its proper divisors (2601127137).

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

2040253215 is a wasteful number, since it uses less digits than its factorization.

2040253215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2040253215 is about 45169.1622127309. The cubic root of 2040253215 is about 1268.3176133762.

Adding to 2040253215 its reverse (5123520402), we get a palindrome (7163773617).

It can be divided in two parts, 2040 and 253215, that added together give a triangular number (255255 = T714).

The spelling of 2040253215 in words is "two billion, forty million, two hundred fifty-three thousand, two hundred fifteen".

Divisors: 1 3 5 7 11 13 15 17 21 33 35 39 51 55 65 77 85 91 105 119 143 165 187 195 221 231 255 273 357 385 429 455 561 595 663 715 935 1001 1105 1155 1309 1365 1547 1785 2145 2431 2805 3003 3315 3927 4641 5005 6545 7293 7735 7993 12155 15015 17017 19635 23205 23979 36465 39965 51051 55951 85085 87923 103909 119895 135881 167853 255255 263769 279755 311727 407643 439615 519545 615461 679405 727363 839265 951167 1142999 1318845 1494691 1558635 1766453 1846383 2038215 2182089 2853501 3077305 3428997 3636815 4484073 4755835 5299359 5714995 7473455 8000993 8832265 9231915 10462837 10910445 12365171 14267505 17144985 19430983 22420365 24002979 26496795 31388511 37095513 40004965 52314185 58292949 61825855 97154915 120014895 136016881 156942555 185477565 291464745 408050643 680084405 2040253215