Search a number
-
+
105774312 = 2337629609
BaseRepresentation
bin1100100110111…
…11110011101000
321101000220002010
412103133303220
5204034234222
614255035520
72423031630
oct623376350
9241026063
10105774312
1154785896
122b50bba0
1318bb5b67
14100956c0
15944580c
hex64dfce8

105774312 has 32 divisors (see below), whose sum is σ = 302212800. Its totient is φ = 30221184.

The previous prime is 105774283. The next prime is 105774313. The reversal of 105774312 is 213477501.

It is a super-2 number, since 2×1057743122 = 22376410158146688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105774312.

It is not an unprimeable number, because it can be changed into a prime (105774313) 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, 314637 + ... + 314972.

It is an arithmetic number, because the mean of its divisors is an integer number (9444150).

Almost surely, 2105774312 is an apocalyptic number.

105774312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105774312 is an abundant number, since it is smaller than the sum of its proper divisors (196438488).

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

105774312 is a wasteful number, since it uses less digits than its factorization.

105774312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629625 (or 629621 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 105774312 is about 10284.6639225596. The cubic root of 105774312 is about 472.9262311076.

The spelling of 105774312 in words is "one hundred five million, seven hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 629609 1259218 1888827 2518436 3777654 4407263 5036872 7555308 8814526 13221789 15110616 17629052 26443578 35258104 52887156 105774312