Search a number
-
+
126523964 = 227191032309
BaseRepresentation
bin1111000101010…
…01101000111100
322211002002020202
413202221220330
5224342231324
620315503032
73064302350
oct742515074
9284062222
10126523964
1165468366
1236457a78
132029c568
1412b37460
15b1938ae
hex78a9a3c

126523964 has 48 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 50849856.

The previous prime is 126523963. The next prime is 126523967. The reversal of 126523964 is 469325621.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126523961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53642 + ... + 55950.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2126523964 is an apocalyptic number.

126523964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126523964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134534400).

126523964 is an abundant number, since it is smaller than the sum of its proper divisors (142544836).

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

126523964 is a wasteful number, since it uses less digits than its factorization.

126523964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2440 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 126523964 is about 11248.2871584966. The cubic root of 126523964 is about 502.0237498221.

The spelling of 126523964 in words is "one hundred twenty-six million, five hundred twenty-three thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 103 133 206 266 412 532 721 1442 1957 2309 2884 3914 4618 7828 9236 13699 16163 27398 32326 43871 54796 64652 87742 175484 237827 307097 475654 614194 951308 1228388 1664789 3329578 4518713 6659156 9037426 18074852 31630991 63261982 126523964