Search a number
-
+
124123032 = 233211532957
BaseRepresentation
bin1110110010111…
…11011110011000
322122120002210100
413121133132120
5223233414112
620152215400
73035012505
oct731373630
9278502710
10124123032
1164078520
123569a560
131c93b7a7
14126b04ac
15ad6c2dc
hex765f798

124123032 has 96 divisors (see below), whose sum is σ = 373772880. Its totient is φ = 36890880.

The previous prime is 124123007. The next prime is 124123081. The reversal of 124123032 is 230321421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124122996 and 124123014.

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 23 ways as a sum of consecutive naturals, for example, 40498 + ... + 43454.

Almost surely, 2124123032 is an apocalyptic number.

124123032 is a gapful number since it is divisible by the number (12) 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 124123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186886440).

124123032 is an abundant number, since it is smaller than the sum of its proper divisors (249649848).

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

124123032 is a wasteful number, since it uses less digits than its factorization.

124123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 124123032 is about 11141.0516559255. The cubic root of 124123032 is about 498.8279641439.

Adding to 124123032 its reverse (230321421), we get a palindrome (354444453).

The spelling of 124123032 in words is "one hundred twenty-four million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 2957 3498 3816 4664 5247 5914 6996 8871 10494 11828 13992 17742 20988 23656 26613 32527 35484 41976 53226 65054 70968 97581 106452 130108 156721 195162 212904 260216 292743 313442 390324 470163 585486 626884 780648 940326 1170972 1253768 1410489 1723931 1880652 2341944 2820978 3447862 3761304 5171793 5641956 6895724 10343586 11283912 13791448 15515379 20687172 31030758 41374344 62061516 124123032