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106612428 = 223131933541
BaseRepresentation
bin1100101101011…
…00011011001100
321102121110202110
412112230123030
5204243044203
614325024020
72433122256
oct626543314
9242543673
10106612428
11551a854a
122b855010
131911a4a0
1410232cd6
15955dd03
hex65ac6cc

106612428 has 48 divisors (see below), whose sum is σ = 269362016. Its totient is φ = 32624640.

The previous prime is 106612411. The next prime is 106612433. The reversal of 106612428 is 824216601.

It is a super-2 number, since 2×1066124282 = 22732419608110368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106612395 and 106612404.

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, 28338 + ... + 31878.

Almost surely, 2106612428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106612428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134681008).

106612428 is an abundant number, since it is smaller than the sum of its proper divisors (162749588).

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

106612428 is a wasteful number, since it uses less digits than its factorization.

106612428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106612428 is about 10325.3294378436. The cubic root of 106612428 is about 474.1720431575.

The spelling of 106612428 in words is "one hundred six million, six hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 579 772 1158 2316 2509 3541 5018 7082 7527 10036 10623 14164 15054 21246 30108 42492 46033 92066 138099 184132 276198 552396 683413 1366826 2050239 2733652 4100478 8200956 8884369 17768738 26653107 35537476 53306214 106612428