Search a number
-
+
7140103290 = 2335195326261
BaseRepresentation
bin1101010011001010…
…10101010001111010
3200102121100211101000
412221211111101322
5104110331301130
63140301105430
7341636606445
oct65145252172
920377324330
107140103290
113034447311
121473258276
1389a34b2b8
144ba3ca65c
152bbc91260
hex1a995547a

7140103290 has 128 divisors (see below), whose sum is σ = 20421331200. Its totient is φ = 1769713920.

The previous prime is 7140103283. The next prime is 7140103291. The reversal of 7140103290 is 923010417.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7140103291) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 258760 + ... + 285020.

It is an arithmetic number, because the mean of its divisors is an integer number (159541650).

Almost surely, 27140103290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7140103290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10210665600).

7140103290 is an abundant number, since it is smaller than the sum of its proper divisors (13281227910).

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

7140103290 is a wasteful number, since it uses less digits than its factorization.

7140103290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26349 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7140103290 is about 84499.1318890319. The cubic root of 7140103290 is about 1925.6092558508.

The spelling of 7140103290 in words is "seven billion, one hundred forty million, one hundred three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 53 54 57 90 95 106 114 135 159 171 190 265 270 285 318 342 477 513 530 570 795 855 954 1007 1026 1431 1590 1710 2014 2385 2565 2862 3021 4770 5035 5130 6042 7155 9063 10070 14310 15105 18126 26261 27189 30210 45315 52522 54378 78783 90630 131305 135945 157566 236349 262610 271890 393915 472698 498959 709047 787830 997918 1181745 1391833 1418094 1496877 2363490 2494795 2783666 2993754 3545235 4175499 4490631 4989590 6959165 7090470 7484385 8350998 8981262 12526497 13471893 13918330 14968770 20877495 22453155 25052994 26444827 26943786 37579491 41754990 44906310 52889654 62632485 67359465 75158982 79334481 125264970 132224135 134718930 158668962 187897455 238003443 264448270 375794910 396672405 476006886 714010329 793344810 1190017215 1428020658 2380034430 3570051645 7140103290