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106576436 = 2244959341
BaseRepresentation
bin1100101101000…
…11101000110100
321102112122101102
412112203220310
5204240421221
614324145232
72432612321
oct626435064
9242478342
10106576436
11551834aa
122b838218
1319106ca5
1410223b48
15955330b
hex65a3a34

106576436 has 12 divisors (see below), whose sum is σ = 186927300. Its totient is φ = 53168640.

The previous prime is 106576429. The next prime is 106576439. The reversal of 106576436 is 634675601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33131536 + 73444900 = 5756^2 + 8570^2 .

It is a super-2 number, since 2×1065764362 = 22717073420924192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106576436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106576439) 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 3 ways as a sum of consecutive naturals, for example, 27875 + ... + 31466.

It is an arithmetic number, because the mean of its divisors is an integer number (15577275).

Almost surely, 2106576436 is an apocalyptic number.

It is an amenable number.

106576436 is a deficient number, since it is larger than the sum of its proper divisors (80350864).

106576436 is a wasteful number, since it uses less digits than its factorization.

106576436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59794 (or 59792 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 106576436 is about 10323.5863923348. The cubic root of 106576436 is about 474.1186775184.

The spelling of 106576436 in words is "one hundred six million, five hundred seventy-six thousand, four hundred thirty-six".

Divisors: 1 2 4 449 898 1796 59341 118682 237364 26644109 53288218 106576436