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106733430 = 2335395309
BaseRepresentation
bin1100101110010…
…01111101110110
321102211121202000
412113021331312
5204310432210
614331400130
72434135116
oct627117566
9242747660
10106733430
1155280451
122b8b3046
131916059b
1410265046
159584ac0
hex65c9f76

106733430 has 32 divisors (see below), whose sum is σ = 284623200. Its totient is φ = 28462176.

The previous prime is 106733423. The next prime is 106733437. The reversal of 106733430 is 34337601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106733423) and next prime (106733437).

It is a super-2 number, since 2×1067334302 = 22784050159129800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106733394 and 106733403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106733437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197385 + ... + 197924.

It is an arithmetic number, because the mean of its divisors is an integer number (8894475).

Almost surely, 2106733430 is an apocalyptic number.

106733430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106733430 is an abundant number, since it is smaller than the sum of its proper divisors (177889770).

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

106733430 is a wasteful number, since it uses less digits than its factorization.

106733430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395325 (or 395319 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 106733430 is about 10331.1872502632. The cubic root of 106733430 is about 474.3513658178.

The spelling of 106733430 in words is "one hundred six million, seven hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 395309 790618 1185927 1976545 2371854 3557781 3953090 5929635 7115562 10673343 11859270 17788905 21346686 35577810 53366715 106733430