Search a number
106747746 = 2372541613
BaseRepresentation
bin1100101110011…
…01011101100010
321102212100101020
412113031131202
5204311411441
614331550310
72434224630
oct627153542
9242770336
10106747746
1155290186
122b8bb396
1319166c61
141026a350
159588e66
hex65cd762

106747746 has 16 divisors (see below), whose sum is σ = 243994944. Its totient is φ = 30499344.

The previous prime is 106747741. The next prime is 106747759. The reversal of 106747746 is 647747601.

It is a super-2 number, since 2×1067477462 = 22790162552161032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 2541613 = 106747746 / (1 + 0 + 6 + 7 + 4 + 7 + 7 + 4 + 6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106747698 and 106747707.

It is not an unprimeable number, because it can be changed into a prime (106747741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1270765 + ... + 1270848.

It is an arithmetic number, because the mean of its divisors is an integer number (15249684).

Almost surely, 2106747746 is an apocalyptic number.

106747746 is an abundant number, since it is smaller than the sum of its proper divisors (137247198).

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

106747746 is a wasteful number, since it uses less digits than its factorization.

106747746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541625.

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 106747746 is about 10331.8800806049. The cubic root of 106747746 is about 474.3725728897.

The spelling of 106747746 in words is "one hundred six million, seven hundred forty-seven thousand, seven hundred forty-six".