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123301340 = 225171392609
BaseRepresentation
bin1110101100101…
…10110111011100
322121000100122022
413112112313130
5223031120330
620122435312
73025021061
oct726266734
9277010568
10123301340
1163667138
1235362b38
131c711796
1412538c68
15ac58ae5
hex7596ddc

123301340 has 48 divisors (see below), whose sum is σ = 276242400. Its totient is φ = 46067712.

The previous prime is 123301337. The next prime is 123301361. The reversal of 123301340 is 43103321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45956 + ... + 48564.

It is an arithmetic number, because the mean of its divisors is an integer number (5755050).

Almost surely, 2123301340 is an apocalyptic number.

123301340 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 123301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138121200).

123301340 is an abundant number, since it is smaller than the sum of its proper divisors (152941060).

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

123301340 is a wasteful number, since it uses less digits than its factorization.

123301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 123301340 is about 11104.1136521561. The cubic root of 123301340 is about 497.7247824743.

Adding to 123301340 its reverse (43103321), we get a palindrome (166404661).

The spelling of 123301340 in words is "one hundred twenty-three million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1390 2363 2609 2780 4726 5218 9452 10436 11815 13045 23630 26090 44353 47260 52180 88706 177412 221765 362651 443530 725302 887060 1450604 1813255 3626510 6165067 7253020 12330134 24660268 30825335 61650670 123301340