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130363712 = 2619472281
BaseRepresentation
bin1111100010100…
…11000101000000
3100002022011101122
413301103011000
5231333114322
620534051412
73142034063
oct761230500
9302264348
10130363712
1167650206
12377a9b68
13210151bb
14134568da
15b6a1442
hex7c53140

130363712 has 56 divisors (see below), whose sum is σ = 278221440. Its totient is φ = 60410880.

The previous prime is 130363703. The next prime is 130363721. The reversal of 130363712 is 217363031.

It is an interprime number because it is at equal distance from previous prime (130363703) and next prime (130363721).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56012 + ... + 58292.

It is an arithmetic number, because the mean of its divisors is an integer number (4968240).

Almost surely, 2130363712 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 130363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139110720).

130363712 is an abundant number, since it is smaller than the sum of its proper divisors (147857728).

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

130363712 is a wasteful number, since it uses less digits than its factorization.

130363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 130363712 is about 11417.6929368415. The cubic root of 130363712 is about 507.0516956366.

The spelling of 130363712 in words is "one hundred thirty million, three hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 1216 1504 1786 2281 3008 3572 4562 7144 9124 14288 18248 28576 36496 43339 57152 72992 86678 107207 145984 173356 214414 346712 428828 693424 857656 1386848 1715312 2036933 2773696 3430624 4073866 6861248 8147732 16295464 32590928 65181856 130363712