Search a number
-
+
104930070 = 23572411741
BaseRepresentation
bin1100100000100…
…01101100010110
321022102222222220
412100101230112
5203330230240
614225003210
72412614400
oct620215426
9238388886
10104930070
1154259573
122b183506
131897b7cb
14dd15b70
15932a5d0
hex6411b16

104930070 has 96 divisors (see below), whose sum is σ = 300265056. Its totient is φ = 23385600.

The previous prime is 104930017. The next prime is 104930087. The reversal of 104930070 is 70039401.

It is a super-2 number, since 2×1049300702 = 22020639180409800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104930070.

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 47 ways as a sum of consecutive naturals, for example, 59400 + ... + 61140.

It is an arithmetic number, because the mean of its divisors is an integer number (3127761).

Almost surely, 2104930070 is an apocalyptic number.

104930070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104930070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150132528).

104930070 is an abundant number, since it is smaller than the sum of its proper divisors (195334986).

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

104930070 is a wasteful number, since it uses less digits than its factorization.

104930070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 104930070 is about 10243.5379630282. The cubic root of 104930070 is about 471.6646419660.

Adding to 104930070 its reverse (70039401), we get a palindrome (174969471).

The spelling of 104930070 in words is "one hundred four million, nine hundred thirty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 205 210 245 246 287 294 410 490 574 615 735 861 1230 1435 1470 1722 1741 2009 2870 3482 4018 4305 5223 6027 8610 8705 10045 10446 12054 12187 17410 20090 24374 26115 30135 36561 52230 60270 60935 71381 73122 85309 121870 142762 170618 182805 214143 255927 356905 365610 426545 428286 499667 511854 713810 853090 999334 1070715 1279635 1499001 2141430 2498335 2559270 2998002 3497669 4996670 6995338 7495005 10493007 14990010 17488345 20986014 34976690 52465035 104930070