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106478730 = 23252351439
BaseRepresentation
bin1100101100010…
…11110010001010
321102100200100200
412112023302022
5204224304410
614322113030
72432024421
oct626136212
9242320320
10106478730
1155117056
122b7ab776
13190a1687
14101da2b8
1595343c0
hex658bc8a

106478730 has 48 divisors (see below), whose sum is σ = 288887040. Its totient is φ = 27159264.

The previous prime is 106478719. The next prime is 106478737. The reversal of 106478730 is 37874601.

106478730 is a `hidden beast` number, since 1 + 0 + 647 + 8 + 7 + 3 + 0 = 666.

It is a super-2 number, since 2×1064787302 = 22675439884825800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106478737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23650 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (6018480).

Almost surely, 2106478730 is an apocalyptic number.

106478730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106478730 is an abundant number, since it is smaller than the sum of its proper divisors (182408310).

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

106478730 is a wasteful number, since it uses less digits than its factorization.

106478730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51475 (or 51472 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106478730 is about 10318.8531339486. The cubic root of 106478730 is about 473.9737474111.

The spelling of 106478730 in words is "one hundred six million, four hundred seventy-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 51439 102878 154317 257195 308634 462951 514390 771585 925902 1183097 1543170 2314755 2366194 3549291 4629510 5915485 7098582 10647873 11830970 17746455 21295746 35492910 53239365 106478730