Search a number
-
+
106689390 = 2354917243
BaseRepresentation
bin1100101101111…
…11001101101110
321102202101022220
412112333031232
5204303030030
614330420210
72433562533
oct626771556
9242671286
10106689390
1155250355
122b891666
1319146522
1410252d8a
159576a10
hex65bf36e

106689390 has 32 divisors (see below), whose sum is σ = 256611456. Its totient is φ = 28388640.

The previous prime is 106689367. The next prime is 106689391. The reversal of 106689390 is 93986601.

It is a super-2 number, since 2×1066893902 = 22765251877144200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106689391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11109 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (8019108).

Almost surely, 2106689390 is an apocalyptic number.

106689390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106689390 is an abundant number, since it is smaller than the sum of its proper divisors (149922066).

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

106689390 is a wasteful number, since it uses less digits than its factorization.

106689390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 106689390 is about 10329.0556199490. The cubic root of 106689390 is about 474.2861150710.

The spelling of 106689390 in words is "one hundred six million, six hundred eighty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 491 982 1473 2455 2946 4910 7243 7365 14486 14730 21729 36215 43458 72430 108645 217290 3556313 7112626 10668939 17781565 21337878 35563130 53344695 106689390