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126983016 = 233213113463
BaseRepresentation
bin1111001000110…
…01101101101000
322211221101221200
413210121231220
5230001424031
620333404200
73101223606
oct744315550
9284841850
10126983016
1165751246
1236639660
13204004a4
1412c16876
15b2348e6
hex7919b68

126983016 has 48 divisors (see below), whose sum is σ = 346563360. Its totient is φ = 42001440.

The previous prime is 126983011. The next prime is 126983039. The reversal of 126983016 is 610389621.

It is a super-2 number, since 2×1269830162 = 32249372704912512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126983011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2701 + ... + 16163.

It is an arithmetic number, because the mean of its divisors is an integer number (7220070).

Almost surely, 2126983016 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 126983016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173281680).

126983016 is an abundant number, since it is smaller than the sum of its proper divisors (219580344).

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

126983016 is a wasteful number, since it uses less digits than its factorization.

126983016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 13599 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126983016 is about 11268.6741012419. The cubic root of 126983016 is about 502.6301615738.

The spelling of 126983016 in words is "one hundred twenty-six million, nine hundred eighty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 13463 26926 40389 53852 80778 107704 121167 161556 242334 323112 484668 969336 1763653 3527306 5290959 7054612 10581918 14109224 15872877 21163836 31745754 42327672 63491508 126983016