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3508700130 = 23251310728027
BaseRepresentation
bin1101000100100010…
…1000001111100010
3100001112020102201200
43101020220033202
524141211401010
61340055342030
7152643313305
oct32110501742
910045212650
103508700130
11154062a381
1281b081916
1343bbc4630
14253dc4b3c
15158079cc0
hexd12283e2

3508700130 has 96 divisors (see below), whose sum is σ = 9916530624. Its totient is φ = 855577728.

The previous prime is 3508700123. The next prime is 3508700131. The reversal of 3508700130 is 310078053.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3508700094 and 3508700103.

It is not an unprimeable number, because it can be changed into a prime (3508700131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111177 + ... + 139203.

It is an arithmetic number, because the mean of its divisors is an integer number (103297194).

Almost surely, 23508700130 is an apocalyptic number.

3508700130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3508700130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958265312).

3508700130 is an abundant number, since it is smaller than the sum of its proper divisors (6407830494).

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

3508700130 is a wasteful number, since it uses less digits than its factorization.

3508700130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28160 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3508700130 is about 59234.2817125354. The cubic root of 3508700130 is about 1519.5514792173.

Adding to 3508700130 its reverse (310078053), we get a palindrome (3818778183).

The spelling of 3508700130 in words is "three billion, five hundred eight million, seven hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1070 1170 1391 1605 1926 2782 3210 4173 4815 6955 8346 9630 12519 13910 20865 25038 28027 41730 56054 62595 84081 125190 140135 168162 252243 280270 364351 420405 504486 728702 840810 1093053 1261215 1821755 2186106 2522430 2998889 3279159 3643510 5465265 5997778 6558318 8996667 10930530 14994445 16395795 17993334 26990001 29988890 32791590 38985557 44983335 53980002 77971114 89966670 116956671 134950005 194927785 233913342 269900010 350870013 389855570 584783355 701740026 1169566710 1754350065 3508700130