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124030144 = 2672511103
BaseRepresentation
bin1110110010010…
…00110011000000
322122101101101001
413121020303000
5223222431034
620150221344
73034144630
oct731106300
9278341331
10124030144
1164014757
1235654854
131c908424
14126886c0
15ad4ea14
hex7648cc0

124030144 has 56 divisors (see below), whose sum is σ = 282659328. Its totient is φ = 52896000.

The previous prime is 124030057. The next prime is 124030171. The reversal of 124030144 is 441030421.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111897 + ... + 112999.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2124030144 is an apocalyptic number.

124030144 is a gapful number since it is divisible by the number (14) 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 124030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329664).

124030144 is an abundant number, since it is smaller than the sum of its proper divisors (158629184).

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

124030144 is a wasteful number, since it uses less digits than its factorization.

124030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 124030144 is about 11136.8821489679. The cubic root of 124030144 is about 498.7034997466.

Adding to 124030144 its reverse (441030421), we get a palindrome (565060565).

The spelling of 124030144 in words is "one hundred twenty-four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1103 1757 2008 2206 3514 4016 4412 7028 7721 8032 8824 14056 15442 16064 17648 28112 30884 35296 56224 61768 70592 112448 123536 247072 276853 494144 553706 1107412 1937971 2214824 3875942 4429648 7751884 8859296 15503768 17718592 31007536 62015072 124030144