Search a number
-
+
106774444 = 227107157227
BaseRepresentation
bin1100101110100…
…11111110101100
321102220201000001
412113103332230
5204313240234
614332314044
72434365520
oct627237654
9242821001
10106774444
11552a9247
122b912924
131917615a
1410275d80
159591d14
hex65d3fac

106774444 has 48 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 44845632.

The previous prime is 106774429. The next prime is 106774453. The reversal of 106774444 is 444477601.

It is a super-2 number, since 2×1067744442 = 22801563783018272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 470259 + ... + 470485.

It is an arithmetic number, because the mean of its divisors is an integer number (4539024).

Almost surely, 2106774444 is an apocalyptic number.

106774444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106774444 is an abundant number, since it is smaller than the sum of its proper divisors (111098708).

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

106774444 is a wasteful number, since it uses less digits than its factorization.

106774444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 106774444 is about 10333.1720202463. The cubic root of 106774444 is about 474.4121170291.

The spelling of 106774444 in words is "one hundred six million, seven hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 107 157 214 227 314 428 454 628 749 908 1099 1498 1589 2198 2996 3178 4396 6356 16799 24289 33598 35639 48578 67196 71278 97156 117593 142556 170023 235186 249473 340046 470372 498946 680092 997892 3813373 7626746 15253492 26693611 53387222 106774444