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126827296 = 2543611511
BaseRepresentation
bin1111000111100…
…11101100100000
322211122111100021
413203303230200
5224431433141
620330203224
73100004611
oct743635440
9284574307
10126827296
1165655252
1236583514
132037764b
1412bb5c08
15b2036d1
hex78f3b20

126827296 has 48 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 60883200.

The previous prime is 126827213. The next prime is 126827297. The reversal of 126827296 is 692728621.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (126827297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83181 + ... + 84691.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2126827296 is an apocalyptic number.

126827296 is a gapful number since it is divisible by the number (16) 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 126827296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

126827296 is an abundant number, since it is smaller than the sum of its proper divisors (133031072).

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

126827296 is a wasteful number, since it uses less digits than its factorization.

126827296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1617 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 126827296 is about 11261.7625618728. The cubic root of 126827296 is about 502.4246181156.

The spelling of 126827296 in words is "one hundred twenty-six million, eight hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1376 1511 1952 2623 3022 5246 6044 10492 12088 20984 24176 41968 48352 64973 83936 92171 129946 184342 259892 368684 519784 737368 1039568 1474736 2079136 2949472 3963353 7926706 15853412 31706824 63413648 126827296