Search a number
-
+
106756620 = 22354143397
BaseRepresentation
bin1100101110011…
…11101000001100
321102212210112220
412113033220030
5204312202440
614332055340
72434262535
oct627175014
9242783486
10106756620
1155296913
122b904550
131916acc9
141026d68c
15958b8d0
hex65cfa0c

106756620 has 48 divisors (see below), whose sum is σ = 306216288. Its totient is φ = 27773440.

The previous prime is 106756619. The next prime is 106756673. The reversal of 106756620 is 26657601.

It is a super-2 number, since 2×1067566202 = 22793951827648800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19239 + ... + 24158.

It is an arithmetic number, because the mean of its divisors is an integer number (6379506).

Almost surely, 2106756620 is an apocalyptic number.

106756620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106756620 is an abundant number, since it is smaller than the sum of its proper divisors (199459668).

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

106756620 is a wasteful number, since it uses less digits than its factorization.

106756620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43450 (or 43448 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106756620 is about 10332.3095191733. The cubic root of 106756620 is about 474.3857174781.

The spelling of 106756620 in words is "one hundred six million, seven hundred fifty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 43397 86794 130191 173588 216985 260382 433970 520764 650955 867940 1301910 1779277 2603820 3558554 5337831 7117108 8896385 10675662 17792770 21351324 26689155 35585540 53378310 106756620