Search a number
-
+
107148736 = 262957731
BaseRepresentation
bin1100110001011…
…11010111000000
321110121201102201
412120233113000
5204412224421
614344322544
72440514662
oct630572700
9243551381
10107148736
1155534482
122ba73454
1319277626
1410332532
159617b91
hex662f5c0

107148736 has 28 divisors (see below), whose sum is σ = 219958920. Its totient is φ = 51726080.

The previous prime is 107148709. The next prime is 107148749. The reversal of 107148736 is 637841701.

It is a super-2 number, since 2×1071487362 = 22961703252795392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107148695 and 107148704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27010 + ... + 30721.

Almost surely, 2107148736 is an apocalyptic number.

107148736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107148736 is an abundant number, since it is smaller than the sum of its proper divisors (112810184).

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

107148736 is an equidigital number, since it uses as much as digits as its factorization.

107148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57772 (or 57762 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 107148736 is about 10351.2673620190. The cubic root of 107148736 is about 474.9658124979.

The spelling of 107148736 in words is "one hundred seven million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 57731 115462 230924 461848 923696 1674199 1847392 3348398 3694784 6696796 13393592 26787184 53574368 107148736