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130567104 = 2632419541
BaseRepresentation
bin1111100100001…
…00101111000000
3100002200111101200
413302010233000
5231411121404
620542301200
73143542053
oct762045700
9302614350
10130567104
1167779aa8
1237887800
1321086955
14134aaa9a
15b6e1839
hex7c84bc0

130567104 has 84 divisors (see below), whose sum is σ = 375833640. Its totient is φ = 43338240.

The previous prime is 130567103. The next prime is 130567109. The reversal of 130567104 is 401765031.

It is a super-3 number, since 3×1305671043 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130567103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241074 + ... + 241614.

It is an arithmetic number, because the mean of its divisors is an integer number (4474210).

Almost surely, 2130567104 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 130567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187916820).

130567104 is an abundant number, since it is smaller than the sum of its proper divisors (245266536).

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

130567104 is a wasteful number, since it uses less digits than its factorization.

130567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

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

The square root of 130567104 is about 11426.5963436187. The cubic root of 130567104 is about 507.3152574032.

The spelling of 130567104 in words is "one hundred thirty million, five hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 419 541 576 838 1082 1257 1623 1676 2164 2514 3246 3352 3771 4328 4869 5028 6492 6704 7542 8656 9738 10056 12984 13408 15084 17312 19476 20112 25968 26816 30168 34624 38952 40224 51936 60336 77904 80448 103872 120672 155808 226679 241344 311616 453358 680037 906716 1360074 1813432 2040111 2720148 3626864 4080222 5440296 7253728 8160444 10880592 14507456 16320888 21761184 32641776 43522368 65283552 130567104