Search a number
-
+
106479747 = 32113741709
BaseRepresentation
bin1100101100011…
…00000010000011
321102100201202100
412112030002003
5204224322442
614322121443
72432030403
oct626140203
9242321670
10106479747
11551178a0
122b7b0283
13190a1c8a
14101da803
15953484c
hex658c083

106479747 has 48 divisors (see below), whose sum is σ = 176772960. Its totient is φ = 61171200.

The previous prime is 106479707. The next prime is 106479749. The reversal of 106479747 is 747974601.

106479747 is a `hidden beast` number, since 106 + 479 + 74 + 7 = 666.

It is not a de Polignac number, because 106479747 - 212 = 106475651 is a prime.

It is a super-2 number, since 2×1064797472 = 22675873042368018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106479749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149829 + ... + 150537.

It is an arithmetic number, because the mean of its divisors is an integer number (3682770).

Almost surely, 2106479747 is an apocalyptic number.

106479747 is a deficient number, since it is larger than the sum of its proper divisors (70293213).

106479747 is a wasteful number, since it uses less digits than its factorization.

106479747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 106479747 is about 10318.9024125631. The cubic root of 106479747 is about 473.9752564128.

The spelling of 106479747 in words is "one hundred six million, four hundred seventy-nine thousand, seven hundred forty-seven".

Divisors: 1 3 9 11 33 37 41 99 111 123 333 369 407 451 709 1221 1353 1517 2127 3663 4059 4551 6381 7799 13653 16687 23397 26233 29069 50061 70191 78699 87207 150183 236097 261621 288563 319759 865689 959277 1075553 2597067 2877831 3226659 9679977 11831083 35493249 106479747