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106459288 = 23134124967
BaseRepresentation
bin1100101100001…
…11000010011000
321102022200200121
412112013002120
5204223144123
614321443024
72431613635
oct626070230
9242280617
10106459288
1155103491
122b7a0474
1319095880
14101d318c
15952d75d
hex6587098

106459288 has 32 divisors (see below), whose sum is σ = 220217760. Its totient is φ = 47934720.

The previous prime is 106459273. The next prime is 106459289. The reversal of 106459288 is 882954601.

It is a happy number.

It is a super-2 number, since 2×1064592882 = 22667160002933888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106459289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8220 + ... + 16747.

It is an arithmetic number, because the mean of its divisors is an integer number (6881805).

Almost surely, 2106459288 is an apocalyptic number.

It is an amenable number.

106459288 is an abundant number, since it is smaller than the sum of its proper divisors (113758472).

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

106459288 is a wasteful number, since it uses less digits than its factorization.

106459288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027 (or 25023 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 106459288 is about 10317.9110288856. The cubic root of 106459288 is about 473.9448979607.

The spelling of 106459288 in words is "one hundred six million, four hundred fifty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 24967 49934 99868 199736 324571 649142 1023647 1298284 2047294 2596568 4094588 8189176 13307411 26614822 53229644 106459288