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130710432 = 25371127151
BaseRepresentation
bin1111100101001…
…11101110100000
3100002221210000010
413302213232200
5231430213212
620545324520
73145006656
oct762475640
9302853003
10130710432
1167867756
1237936740
1321106c68
1413506dd6
15b71e03c
hex7ca7ba0

130710432 has 96 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 42336000.

The previous prime is 130710409. The next prime is 130710499. The reversal of 130710432 is 234017031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130710399 and 130710408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865557 + ... + 865707.

It is an arithmetic number, because the mean of its divisors is an integer number (3677184).

Almost surely, 2130710432 is an apocalyptic number.

130710432 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 130710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

130710432 is an abundant number, since it is smaller than the sum of its proper divisors (222299232).

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

130710432 is a wasteful number, since it uses less digits than its factorization.

130710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 130710432 is about 11432.8663072740. The cubic root of 130710432 is about 507.5008219874.

Adding to 130710432 its reverse (234017031), we get a palindrome (364727463).

The spelling of 130710432 in words is "one hundred thirty million, seven hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 127 142 151 213 254 284 302 381 426 453 508 568 604 762 852 906 1016 1136 1208 1524 1704 1812 2032 2272 2416 3048 3408 3624 4064 4832 6096 6816 7248 9017 10721 12192 14496 18034 19177 21442 27051 32163 36068 38354 42884 54102 57531 64326 72136 76708 85768 108204 115062 128652 144272 153416 171536 216408 230124 257304 288544 306832 343072 432816 460248 514608 613664 865632 920496 1029216 1361567 1840992 2723134 4084701 5446268 8169402 10892536 16338804 21785072 32677608 43570144 65355216 130710432