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126983344 = 24291032657
BaseRepresentation
bin1111001000110…
…01110010110000
322211221102101211
413210121302300
5230001431334
620333405504
73101224555
oct744316260
9284842354
10126983344
1165751514
1236639894
1320400697
1412c16a2c
15b234a64
hex7919cb0

126983344 has 40 divisors (see below), whose sum is σ = 257081760. Its totient is φ = 60684288.

The previous prime is 126983341. The next prime is 126983383. The reversal of 126983344 is 443389621.

It is a happy number.

It is a super-2 number, since 2×1269833442 = 32249539306844672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126983297 and 126983306.

It is not an unprimeable number, because it can be changed into a prime (126983341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46464 + ... + 49120.

It is an arithmetic number, because the mean of its divisors is an integer number (6427044).

Almost surely, 2126983344 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 126983344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128540880).

126983344 is an abundant number, since it is smaller than the sum of its proper divisors (130098416).

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

126983344 is a wasteful number, since it uses less digits than its factorization.

126983344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 126983344 is about 11268.6886548524. The cubic root of 126983344 is about 502.6305943418.

The spelling of 126983344 in words is "one hundred twenty-six million, nine hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 464 824 1648 2657 2987 5314 5974 10628 11948 21256 23896 42512 47792 77053 154106 273671 308212 547342 616424 1094684 1232848 2189368 4378736 7936459 15872918 31745836 63491672 126983344