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123330672 = 24321945077
BaseRepresentation
bin1110101100111…
…10000001110000
322121001211212200
413112132001300
5223033040142
620123223200
73025202433
oct726360160
9277054780
10123330672
1163687183
1235377b00
131c721c3a
141254581a
15ac6264c
hex759e070

123330672 has 60 divisors (see below), whose sum is σ = 363328680. Its totient is φ = 38945664.

The previous prime is 123330671. The next prime is 123330703. The reversal of 123330672 is 276033321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123330671) 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, 19803 + ... + 25274.

It is an arithmetic number, because the mean of its divisors is an integer number (6055478).

Almost surely, 2123330672 is an apocalyptic number.

123330672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123330672 is an abundant number, since it is smaller than the sum of its proper divisors (239998008).

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

123330672 is a wasteful number, since it uses less digits than its factorization.

123330672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45110 (or 45101 counting only the distinct ones).

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

The square root of 123330672 is about 11105.4343454005. The cubic root of 123330672 is about 497.7642470517.

Adding to 123330672 its reverse (276033321), we get a palindrome (399363993).

The spelling of 123330672 in words is "one hundred twenty-three million, three hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 45077 90154 135231 180308 270462 360616 405693 540924 721232 811386 856463 1081848 1622772 1712926 2163696 2569389 3245544 3425852 5138778 6491088 6851704 7708167 10277556 13703408 15416334 20555112 30832668 41110224 61665336 123330672