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124042072 = 23711593413
BaseRepresentation
bin1110110010010…
…11101101011000
322122101222201211
413121023231120
5223223321242
620150352504
73034224460
oct731135530
9278358654
10124042072
1164022710
123565b734
131c91099b
141268cba0
15ad53317
hex764bb58

124042072 has 64 divisors (see below), whose sum is σ = 294969600. Its totient is φ = 47495040.

The previous prime is 124042063. The next prime is 124042117. The reversal of 124042072 is 270240421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34638 + ... + 38050.

It is an arithmetic number, because the mean of its divisors is an integer number (4608900).

Almost surely, 2124042072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124042072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147484800).

124042072 is an abundant number, since it is smaller than the sum of its proper divisors (170927528).

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

124042072 is a wasteful number, since it uses less digits than its factorization.

124042072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 124042072 is about 11137.4176540166. The cubic root of 124042072 is about 498.7194860342.

Adding to 124042072 its reverse (270240421), we get a palindrome (394282493).

The spelling of 124042072 in words is "one hundred twenty-four million, forty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 826 1298 1652 2596 3304 3413 4543 5192 6826 9086 13652 18172 23891 27304 36344 37543 47782 75086 95564 150172 191128 201367 262801 300344 402734 525602 805468 1051204 1409569 1610936 2102408 2215037 2819138 4430074 5638276 8860148 11276552 15505259 17720296 31010518 62021036 124042072