Search a number
-
+
106707712 = 281014127
BaseRepresentation
bin1100101110000…
…11101100000000
321102210022110111
412113003230000
5204304121322
614331041104
72434000126
oct627035400
9242708414
10106707712
11552630a1
122b8a0194
1319151977
1410259916
15957c177
hex65c3b00

106707712 has 36 divisors (see below), whose sum is σ = 215159616. Its totient is φ = 52812800.

The previous prime is 106707703. The next prime is 106707761. The reversal of 106707712 is 217707601.

It is a super-2 number, since 2×1067077122 = 22773071600549888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23793 + ... + 27919.

It is an arithmetic number, because the mean of its divisors is an integer number (5976656).

Almost surely, 2106707712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107579808).

106707712 is an abundant number, since it is smaller than the sum of its proper divisors (108451904).

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

106707712 is an equidigital number, since it uses as much as digits as its factorization.

106707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 31.

The square root of 106707712 is about 10329.9424974198. The cubic root of 106707712 is about 474.3132635775.

It can be divided in two parts, 1067077 and 12, that added together give a square (1067089 = 10332).

The spelling of 106707712 in words is "one hundred six million, seven hundred seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 3232 4127 6464 8254 12928 16508 25856 33016 66032 132064 264128 416827 528256 833654 1056512 1667308 3334616 6669232 13338464 26676928 53353856 106707712