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126063450 = 23252457613
BaseRepresentation
bin1111000001110…
…01001101011010
322210012200112200
413200321031122
5224233012300
620301551030
73060343632
oct740711532
9283180480
10126063450
1165183377
1236275476
132016aa76
1412a576c2
15b102200
hex783935a

126063450 has 72 divisors (see below), whose sum is σ = 339985308. Its totient is φ = 33488640.

The previous prime is 126063439. The next prime is 126063467. The reversal of 126063450 is 54360621.

126063450 is a `hidden beast` number, since 1 + 2 + 606 + 3 + 4 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27279729 + 98783721 = 5223^2 + 9939^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205344 + ... + 205956.

Almost surely, 2126063450 is an apocalyptic number.

126063450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126063450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169992654).

126063450 is an abundant number, since it is smaller than the sum of its proper divisors (213921858).

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

126063450 is a wasteful number, since it uses less digits than its factorization.

126063450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126063450 is about 11227.7980922352. The cubic root of 126063450 is about 501.4139311617.

The spelling of 126063450 in words is "one hundred twenty-six million, sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 457 613 914 1226 1371 1839 2285 2742 3065 3678 4113 4570 5517 6130 6855 8226 9195 11034 11425 13710 15325 18390 20565 22850 27585 30650 34275 41130 45975 55170 68550 91950 102825 137925 205650 275850 280141 560282 840423 1400705 1680846 2521269 2801410 4202115 5042538 7003525 8404230 12606345 14007050 21010575 25212690 42021150 63031725 126063450