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126776328 = 23372671609
BaseRepresentation
bin1111000111001…
…11010000001000
322211112220102120
413203213100020
5224423320303
620325131240
73066403200
oct743472010
9284486376
10126776328
116561aa28
1236559b20
132035a3a3
1412ba1400
15b1e3553
hex78e7408

126776328 has 96 divisors (see below), whose sum is σ = 374421600. Its totient is φ = 35659008.

The previous prime is 126776323. The next prime is 126776389. The reversal of 126776328 is 823677621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126776328.

It is not an unprimeable number, because it can be changed into a prime (126776323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77988 + ... + 79596.

It is an arithmetic number, because the mean of its divisors is an integer number (3900225).

Almost surely, 2126776328 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 126776328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187210800).

126776328 is an abundant number, since it is smaller than the sum of its proper divisors (247645272).

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

126776328 is a wasteful number, since it uses less digits than its factorization.

126776328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1688 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 126776328 is about 11259.4994560149. The cubic root of 126776328 is about 502.3573060837.

The spelling of 126776328 in words is "one hundred twenty-six million, seven hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 392 402 469 536 588 804 938 1176 1407 1608 1609 1876 2814 3218 3283 3752 4827 5628 6436 6566 9654 9849 11256 11263 12872 13132 19308 19698 22526 26264 33789 38616 39396 45052 67578 78792 78841 90104 107803 135156 157682 215606 236523 270312 315364 323409 431212 473046 630728 646818 754621 862424 946092 1293636 1509242 1892184 2263863 2587272 3018484 4527726 5282347 6036968 9055452 10564694 15847041 18110904 21129388 31694082 42258776 63388164 126776328