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130000208 = 24132131367
BaseRepresentation
bin1111011111110…
…10010101010000
3100001121200202112
413233322111100
5231240001313
620522204452
73135661232
oct757722520
9301550675
10130000208
1167422098
1237653728
1320c18900
14133a0252
15b62d8a8
hex7bfa550

130000208 has 60 divisors (see below), whose sum is σ = 275571648. Its totient is φ = 59379840.

The previous prime is 130000193. The next prime is 130000229. The reversal of 130000208 is 802000031.

It is a super-4 number, since 4×1300002084 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130000192 and 130000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354041 + ... + 354407.

Almost surely, 2130000208 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 130000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137785824).

130000208 is an abundant number, since it is smaller than the sum of its proper divisors (145571440).

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

130000208 is a wasteful number, since it uses less digits than its factorization.

130000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130000208 is about 11401.7633723911. The cubic root of 130000208 is about 506.5799720858.

Adding to 130000208 its reverse (802000031), we get a palindrome (932000239).

It can be divided in two parts, 130000 and 208, that multiplied together give a square (27040000 = 52002).

The spelling of 130000208 in words is "one hundred thirty million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 131 169 208 262 338 367 524 676 734 1048 1352 1468 1703 2096 2704 2936 3406 4771 5872 6812 9542 13624 19084 22139 27248 38168 44278 48077 62023 76336 88556 96154 124046 177112 192308 248092 354224 384616 496184 625001 769232 992368 1250002 2500004 5000008 8125013 10000016 16250026 32500052 65000104 130000208