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126025728 = 2163641
BaseRepresentation
bin1111000001100…
…00000000000000
322210010202210120
413200300000000
5224230310403
620301100240
73060125643
oct740600000
9283122716
10126025728
1165157aa4
1236257680
132015684a
1412a47a5a
15b0e5e53
hex7830000

126025728 has 68 divisors (see below), whose sum is σ = 336590328. Its totient is φ = 41943040.

The previous prime is 126025723. The next prime is 126025729. The reversal of 126025728 is 827520621.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (126025721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196288 + ... + 196928.

Almost surely, 2126025728 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 126025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168295164).

126025728 is an abundant number, since it is smaller than the sum of its proper divisors (210564600).

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

126025728 is an frugal number, since it uses more digits than its factorization.

126025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 126025728 is about 11226.1181180317. The cubic root of 126025728 is about 501.3639134307.

The spelling of 126025728 in words is "one hundred twenty-six million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 641 768 1024 1282 1536 1923 2048 2564 3072 3846 4096 5128 6144 7692 8192 10256 12288 15384 16384 20512 24576 30768 32768 41024 49152 61536 65536 82048 98304 123072 164096 196608 246144 328192 492288 656384 984576 1312768 1969152 2625536 3938304 5251072 7876608 10502144 15753216 21004288 31506432 42008576 63012864 126025728