Search a number
-
+
106692020 = 2255334601
BaseRepresentation
bin1100101101111…
…11110110110100
321102202111221022
412112333312310
5204303121040
614330440312
72433603311
oct626776664
9242674838
10106692020
1155252326
122b893098
1319147796
1410253d08
1595776b5
hex65bfdb4

106692020 has 12 divisors (see below), whose sum is σ = 224053284. Its totient is φ = 42676800.

The previous prime is 106692013. The next prime is 106692023. The reversal of 106692020 is 20296601.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 29181604 = 8804^2 + 5402^2 .

It is a super-2 number, since 2×1066920202 = 22766374263360800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106692023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2667281 + ... + 2667320.

It is an arithmetic number, because the mean of its divisors is an integer number (18671107).

Almost surely, 2106692020 is an apocalyptic number.

106692020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106692020 is an abundant number, since it is smaller than the sum of its proper divisors (117361264).

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

106692020 is a wasteful number, since it uses less digits than its factorization.

106692020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334610 (or 5334608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106692020 is about 10329.1829299321. The cubic root of 106692020 is about 474.2900122477.

The spelling of 106692020 in words is "one hundred six million, six hundred ninety-two thousand, twenty".

Divisors: 1 2 4 5 10 20 5334601 10669202 21338404 26673005 53346010 106692020