Search a number
-
+
126739404 = 22341143827
BaseRepresentation
bin1111000110111…
…10001111001100
322211111000210000
413203132033030
5224421130104
620324244300
73066160431
oct743361714
9284430700
10126739404
11655a5210
1236540690
132034663c
1412b91b88
15b1d7639
hex78de3cc

126739404 has 120 divisors (see below), whose sum is σ = 370294848. Its totient is φ = 37467360.

The previous prime is 126739397. The next prime is 126739409. The reversal of 126739404 is 404937621.

126739404 is a `hidden beast` number, since 1 + 267 + 394 + 0 + 4 = 666.

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 (126739409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152839 + ... + 153665.

Almost surely, 2126739404 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 126739404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185147424).

126739404 is an abundant number, since it is smaller than the sum of its proper divisors (243555444).

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

126739404 is a wasteful number, since it uses less digits than its factorization.

126739404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 126739404 is about 11257.8596544814. The cubic root of 126739404 is about 502.3085303052.

The spelling of 126739404 in words is "one hundred twenty-six million, seven hundred thirty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 81 86 99 108 129 132 162 172 198 258 297 324 387 396 473 516 594 774 827 891 946 1161 1188 1419 1548 1654 1782 1892 2322 2481 2838 3308 3483 3564 4257 4644 4962 5676 6966 7443 8514 9097 9924 12771 13932 14886 17028 18194 22329 25542 27291 29772 35561 36388 38313 44658 51084 54582 66987 71122 76626 81873 89316 106683 109164 133974 142244 153252 163746 213366 245619 267948 320049 327492 391171 426732 491238 640098 736857 782342 960147 982476 1173513 1280196 1473714 1564684 1920294 2347026 2880441 2947428 3520539 3840588 4694052 5760882 7041078 10561617 11521764 14082156 21123234 31684851 42246468 63369702 126739404