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106246014 = 2372389929
BaseRepresentation
bin1100101010100…
…10111101111110
321101220212010120
412111102331332
5204144333024
614313115410
72430035100
oct625227576
9241825116
10106246014
1154a78226
122b6b8b66
131901c784
1410179570
1594da479
hex6552f7e

106246014 has 48 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 30245376.

The previous prime is 106246009. The next prime is 106246027. The reversal of 106246014 is 410642601.

It is a super-2 number, since 2×1062460142 = 22576430981776392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113902 + ... + 114830.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2106246014 is an apocalyptic number.

106246014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106246014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

106246014 is an abundant number, since it is smaller than the sum of its proper divisors (141840786).

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

106246014 is a wasteful number, since it uses less digits than its factorization.

106246014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106246014 is about 10307.5707128304. The cubic root of 106246014 is about 473.6281956778.

Adding to 106246014 its reverse (410642601), we get a palindrome (516888615).

The spelling of 106246014 in words is "one hundred six million, two hundred forty-six thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 389 778 929 1167 1858 2334 2723 2787 5446 5574 6503 8169 13006 16338 19061 19509 38122 39018 45521 57183 91042 114366 136563 273126 361381 722762 1084143 2168286 2529667 5059334 7589001 15178002 17707669 35415338 53123007 106246014