Search a number
-
+
106303812 = 22337239423
BaseRepresentation
bin1100101011000…
…01000101000100
321102000210102020
412111201011010
5204203210222
614314243140
72430365436
oct625410504
9242023366
10106303812
115500769a
122b7264b0
131903cb84
1410192656
1594ec65c
hex6561144

106303812 has 24 divisors (see below), whose sum is σ = 254747136. Its totient is φ = 34476768.

The previous prime is 106303807. The next prime is 106303819. The reversal of 106303812 is 218303601.

It is a super-2 number, since 2×1063038122 = 22601000891462688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106303819) 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, 119268 + ... + 120155.

It is an arithmetic number, because the mean of its divisors is an integer number (10614464).

Almost surely, 2106303812 is an apocalyptic number.

106303812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106303812 is an abundant number, since it is smaller than the sum of its proper divisors (148443324).

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

106303812 is a wasteful number, since it uses less digits than its factorization.

106303812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239467 (or 239465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106303812 is about 10310.3739990361. The cubic root of 106303812 is about 473.7140649384.

The spelling of 106303812 in words is "one hundred six million, three hundred three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 239423 478846 718269 957692 1436538 2873076 8858651 17717302 26575953 35434604 53151906 106303812