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123888030 = 23575311131
BaseRepresentation
bin1110110001001…
…10000110011110
322122010011102120
413120212012132
5223203404110
620143203410
73033013410
oct730460636
9278104376
10123888030
1163a27a02
12355a6566
131c888836
141264c9b0
15ad22870
hex762619e

123888030 has 64 divisors (see below), whose sum is σ = 346249728. Its totient is φ = 27780480.

The previous prime is 123888013. The next prime is 123888043. The reversal of 123888030 is 30888321.

It is a junction number, because it is equal to n+sod(n) for n = 123887982 and 123888000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5565 + ... + 16695.

It is an arithmetic number, because the mean of its divisors is an integer number (5410152).

Almost surely, 2123888030 is an apocalyptic number.

123888030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11130×11131.

It is a practical number, because each smaller number is the sum of distinct divisors of 123888030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173124864).

123888030 is an abundant number, since it is smaller than the sum of its proper divisors (222361698).

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

123888030 is a wasteful number, since it uses less digits than its factorization.

123888030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 123888030 is about 11130.4999887696. The cubic root of 123888030 is about 498.5129551127.

The spelling of 123888030 in words is "one hundred twenty-three million, eight hundred eighty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 11131 22262 33393 55655 66786 77917 111310 155834 166965 233751 333930 389585 467502 589943 779170 1168755 1179886 1769829 2337510 2949715 3539658 4129601 5899430 8259202 8849145 12388803 17698290 20648005 24777606 41296010 61944015 123888030