Search a number
-
+
106760934 = 2327847309
BaseRepresentation
bin1100101110100…
…00101011100110
321102220000110200
412113100223212
5204312322214
614332131330
72434311240
oct627205346
9242800420
10106760934
115529a085
122b906b46
131916cc67
1410271090
15958cd09
hex65d0ae6

106760934 has 24 divisors (see below), whose sum is σ = 264360720. Its totient is φ = 30503088.

The previous prime is 106760933. The next prime is 106760971. The reversal of 106760934 is 439067601.

106760934 is a `hidden beast` number, since 10 + 6 + 7 + 609 + 34 = 666.

It is a super-2 number, since 2×1067609342 = 22795794057104712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106760933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423529 + ... + 423780.

It is an arithmetic number, because the mean of its divisors is an integer number (11015030).

Almost surely, 2106760934 is an apocalyptic number.

106760934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106760934 is an abundant number, since it is smaller than the sum of its proper divisors (157599786).

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

106760934 is a wasteful number, since it uses less digits than its factorization.

106760934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847324 (or 847321 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106760934 is about 10332.5182796838. The cubic root of 106760934 is about 474.3921073158.

It can be divided in two parts, 1067 and 60934, that added together give a square (62001 = 2492).

The spelling of 106760934 in words is "one hundred six million, seven hundred sixty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 847309 1694618 2541927 5083854 5931163 7625781 11862326 15251562 17793489 35586978 53380467 106760934