Search a number
-
+
123302088 = 23357131741
BaseRepresentation
bin1110101100101…
…11000011001000
322121000101200000
413112113003020
5223031131323
620122443000
73025023210
oct726270310
9277011600
10123302088
1163667758
1235363460
131c711c20
1412539240
15ac58e43
hex75970c8

123302088 has 384 divisors, whose sum is σ = 462309120. Its totient is φ = 29859840.

The previous prime is 123302083. The next prime is 123302089. The reversal of 123302088 is 880203321.

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

It is not an unprimeable number, because it can be changed into a prime (123302083) 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 95 ways as a sum of consecutive naturals, for example, 3007348 + ... + 3007388.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2123302088 is an apocalyptic number.

123302088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123302088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

123302088 is an abundant number, since it is smaller than the sum of its proper divisors (339007032).

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

123302088 is a wasteful number, since it uses less digits than its factorization.

123302088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123302088 is about 11104.1473333165. The cubic root of 123302088 is about 497.7257889446.

The spelling of 123302088 in words is "one hundred twenty-three million, three hundred two thousand, eighty-eight".