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126983064 = 233131789269
BaseRepresentation
bin1111001000110…
…01101110011000
322211221102000110
413210121232120
5230001424224
620333404320
73101224005
oct744315630
9284842013
10126983064
116575128a
12366396a0
1320400510
1412c168ac
15b234929
hex7919b98

126983064 has 128 divisors (see below), whose sum is σ = 367416000. Its totient is φ = 36225024.

The previous prime is 126983063. The next prime is 126983089. The reversal of 126983064 is 460389621.

It is a super-2 number, since 2×1269830642 = 32249397085656192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126983063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471922 + ... + 472190.

Almost surely, 2126983064 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 126983064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708000).

126983064 is an abundant number, since it is smaller than the sum of its proper divisors (240432936).

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

126983064 is a wasteful number, since it uses less digits than its factorization.

126983064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 126983064 is about 11268.6762310397. The cubic root of 126983064 is about 502.6302249057.

The spelling of 126983064 in words is "one hundred twenty-six million, nine hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 89 102 104 136 156 178 204 221 267 269 312 356 408 442 534 538 663 712 807 884 1068 1076 1157 1326 1513 1614 1768 2136 2152 2314 2652 3026 3228 3471 3497 4539 4573 4628 5304 6052 6456 6942 6994 9078 9146 9256 10491 12104 13719 13884 13988 18156 18292 19669 20982 23941 27438 27768 27976 36312 36584 39338 41964 47882 54876 59007 59449 71823 78676 83928 95764 109752 118014 118898 143646 157352 178347 191528 236028 237796 287292 311233 356694 406997 472056 475592 574584 622466 713388 813994 933699 1220991 1244932 1426776 1627988 1867398 2441982 2489864 3255976 3734796 4883964 5290961 7469592 9767928 10581922 15872883 21163844 31745766 42327688 63491532 126983064