Search a number
-
+
124145322 = 23721759421
BaseRepresentation
bin1110110011001…
…00111010101010
322122121020100220
413121210322222
5223240122242
620152510510
73035134500
oct731447252
9278536326
10124145322
1164093244
12356ab436
131c948992
14126b8670
15ad73bec
hex7664eaa

124145322 has 96 divisors (see below), whose sum is σ = 311739840. Its totient is φ = 32739840.

The previous prime is 124145311. The next prime is 124145327. The reversal of 124145322 is 223541421.

It is a junction number, because it is equal to n+sod(n) for n = 124145292 and 124145301.

It is not an unprimeable number, because it can be changed into a prime (124145327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294672 + ... + 295092.

It is an arithmetic number, because the mean of its divisors is an integer number (3247290).

Almost surely, 2124145322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124145322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155869920).

124145322 is an abundant number, since it is smaller than the sum of its proper divisors (187594518).

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

124145322 is a wasteful number, since it uses less digits than its factorization.

124145322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 124145322 is about 11142.0519654146. The cubic root of 124145322 is about 498.8578221797.

Adding to 124145322 its reverse (223541421), we get a palindrome (347686743).

The spelling of 124145322 in words is "one hundred twenty-four million, one hundred forty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 59 98 102 118 119 147 177 238 294 354 357 413 421 714 826 833 842 1003 1239 1263 1666 2006 2478 2499 2526 2891 2947 3009 4998 5782 5894 6018 7021 7157 8673 8841 14042 14314 17346 17682 20629 21063 21471 24839 41258 42126 42942 49147 49678 50099 61887 74517 98294 100198 123774 147441 149034 150297 173873 294882 300594 347746 350693 422263 521619 701386 844526 1043238 1052079 1217111 1266789 2104158 2434222 2533578 2955841 3651333 5911682 7302666 8867523 17735046 20690887 41381774 62072661 124145322