Search a number
-
+
130086912 = 211331683
BaseRepresentation
bin1111100000011…
…11100000000000
3100001210002200210
413300033200000
5231300240122
620524114120
73136502064
oct760174000
9301702623
10130086912
116748124a
1237695940
1320c49207
14133c3aa4
15b64940c
hex7c0f800

130086912 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 41902080.

The previous prime is 130086899. The next prime is 130086923. The reversal of 130086912 is 219680031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130086912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190123 + ... + 190805.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2130086912 is an apocalyptic number.

130086912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

130086912 is an abundant number, since it is smaller than the sum of its proper divisors (228438528).

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

130086912 is an equidigital number, since it uses as much as digits as its factorization.

130086912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 130086912 is about 11405.5649575109. The cubic root of 130086912 is about 506.6925686973.

The spelling of 130086912 in words is "one hundred thirty million, eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 683 744 768 992 1024 1366 1488 1536 1984 2048 2049 2732 2976 3072 3968 4098 5464 5952 6144 7936 8196 10928 11904 15872 16392 21173 21856 23808 31744 32784 42346 43712 47616 63488 63519 65568 84692 87424 95232 127038 131136 169384 174848 190464 254076 262272 338768 349696 508152 524544 677536 699392 1016304 1049088 1355072 1398784 2032608 2098176 2710144 4065216 4196352 5420288 8130432 10840576 16260864 21681152 32521728 43362304 65043456 130086912