Search a number
-
+
106050350 = 2527535717
BaseRepresentation
bin1100101001000…
…11001100101110
321101112220201202
412110203030232
5204122102400
614305005502
72425261460
oct624431456
9241486652
10106050350
115495421a
122b623892
1318c816b3
1410128130
15949c4d5
hex652332e

106050350 has 48 divisors (see below), whose sum is σ = 229726368. Its totient is φ = 35667840.

The previous prime is 106050337. The next prime is 106050367. The reversal of 106050350 is 53050601.

It is a super-2 number, since 2×1060503502 = 22493353470245000, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15692 + ... + 21408.

It is an arithmetic number, because the mean of its divisors is an integer number (4785966).

Almost surely, 2106050350 is an apocalyptic number.

106050350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106050350 is an abundant number, since it is smaller than the sum of its proper divisors (123676018).

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

106050350 is a wasteful number, since it uses less digits than its factorization.

106050350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 106050350 is about 10298.0750628455. The cubic root of 106050350 is about 473.3372704603.

The spelling of 106050350 in words is "one hundred six million, fifty thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 53 70 106 175 265 350 371 530 742 1325 1855 2650 3710 5717 9275 11434 18550 28585 40019 57170 80038 142925 200095 285850 303001 400190 606002 1000475 1515005 2000950 2121007 3030010 4242014 7575025 10605035 15150050 21210070 53025175 106050350