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123193290 = 235112316231
BaseRepresentation
bin1110101011111…
…00011111001010
322120210212102110
413111330133022
5223014141130
620120243150
73024061053
oct725743712
9276725373
10123193290
11635a2a40
12353104b6
131c6a454c
141250b72a
15ac36ab0
hex757c7ca

123193290 has 64 divisors (see below), whose sum is σ = 336586752. Its totient is φ = 28564800.

The previous prime is 123193261. The next prime is 123193297. The reversal of 123193290 is 92391321.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (123193297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 526 + ... + 15705.

It is an arithmetic number, because the mean of its divisors is an integer number (5259168).

Almost surely, 2123193290 is an apocalyptic number.

123193290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123193290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168293376).

123193290 is an abundant number, since it is smaller than the sum of its proper divisors (213393462).

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

123193290 is a wasteful number, since it uses less digits than its factorization.

123193290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 123193290 is about 11099.2472717748. The cubic root of 123193290 is about 497.5793531831.

The spelling of 123193290 in words is "one hundred twenty-three million, one hundred ninety-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 16231 32462 48693 81155 97386 162310 178541 243465 357082 373313 486930 535623 746626 892705 1071246 1119939 1785410 1866565 2239878 2678115 3733130 4106443 5356230 5599695 8212886 11199390 12319329 20532215 24638658 41064430 61596645 123193290