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1252728 = 2332127137
BaseRepresentation
bin100110001110101111000
32100122102100
410301311320
5310041403
642503400
713435161
oct4616570
92318370
101252728
11786214
12504b60
1334b279
14248768
1519b2a3
hex131d78

1252728 has 48 divisors (see below), whose sum is σ = 3444480. Its totient is φ = 411264.

The previous prime is 1252721. The next prime is 1252729. The reversal of 1252728 is 8272521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9076 + ... + 9212.

It is an arithmetic number, because the mean of its divisors is an integer number (71760).

21252728 is an apocalyptic number.

1252728 is a gapful number since it is divisible by the number (18) 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 1252728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722240).

1252728 is an abundant number, since it is smaller than the sum of its proper divisors (2191752).

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

1252728 is a wasteful number, since it uses less digits than its factorization.

1252728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 1252728 is about 1119.2533225325. The cubic root of 1252728 is about 107.8000415346.

The spelling of 1252728 in words is "one million, two hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 137 254 274 381 411 508 548 762 822 1016 1096 1143 1233 1524 1644 2286 2466 3048 3288 4572 4932 9144 9864 17399 34798 52197 69596 104394 139192 156591 208788 313182 417576 626364 1252728