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106454232 = 23321917741
BaseRepresentation
bin1100101100001…
…01110011011000
321102022102202100
412112011303120
5204223013412
614321403400
72431563123
oct626056330
9242272670
10106454232
11550aa705
122b799560
1319093491
14101d13ba
15952bedc
hex6585cd8

106454232 has 48 divisors (see below), whose sum is σ = 289860480. Its totient is φ = 35294400.

The previous prime is 106454219. The next prime is 106454237. The reversal of 106454232 is 232454601.

106454232 is a `hidden beast` number, since 10 + 645 + 4 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×1064542322 = 22665007021419648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106454196 and 106454205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106454237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9882 + ... + 17622.

It is an arithmetic number, because the mean of its divisors is an integer number (6038760).

Almost surely, 2106454232 is an apocalyptic number.

106454232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106454232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144930240).

106454232 is an abundant number, since it is smaller than the sum of its proper divisors (183406248).

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

106454232 is a wasteful number, since it uses less digits than its factorization.

106454232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106454232 is about 10317.6660151412. Note that the first 3 decimals coincide. The cubic root of 106454232 is about 473.9373949255.

The spelling of 106454232 in words is "one hundred six million, four hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 7741 13752 15482 23223 30964 46446 61928 69669 92892 139338 185784 278676 557352 1478531 2957062 4435593 5914124 8871186 11828248 13306779 17742372 26613558 35484744 53227116 106454232