Search a number
-
+
123242000 = 245378803
BaseRepresentation
bin1110101100010…
…00011000010000
322120220100020112
413112020120100
5223022221000
620121300452
73024353060
oct726103020
9276810215
10123242000
11636265a2
1235334728
131c6c077b
14125213a0
15ac46235
hex7588610

123242000 has 80 divisors (see below), whose sum is σ = 340609152. Its totient is φ = 42249600.

The previous prime is 123241997. The next prime is 123242003. The reversal of 123242000 is 242321.

It is an interprime number because it is at equal distance from previous prime (123241997) and next prime (123242003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (123242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9599 + ... + 18401.

Almost surely, 2123242000 is an apocalyptic number.

123242000 is a gapful number since it is divisible by the number (10) 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 123242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170304576).

123242000 is an abundant number, since it is smaller than the sum of its proper divisors (217367152).

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

123242000 is an equidigital number, since it uses as much as digits as its factorization.

123242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 123242000 is about 11101.4413478611. The cubic root of 123242000 is about 497.6449246564.

Adding to 123242000 its reverse (242321), we get a palindrome (123484321).

The spelling of 123242000 in words is "one hundred twenty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 8803 14000 17606 35212 44015 61621 70424 88030 123242 140848 176060 220075 246484 308105 352120 440150 492968 616210 704240 880300 985936 1100375 1232420 1540525 1760600 2200750 2464840 3081050 3521200 4401500 4929680 6162100 7702625 8803000 12324200 15405250 17606000 24648400 30810500 61621000 123242000