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1273728 = 27331107
BaseRepresentation
bin100110110111110000000
32101201020010
410312332000
5311224403
643144520
713553331
oct4667600
92351203
101273728
1179aa75
12515140
133579b1
14252288
151a2603
hex136f80

1273728 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 407040.

The previous prime is 1273721. The next prime is 1273729. The reversal of 1273728 is 8273721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1273695 and 1273704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1273721) 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, 11851 + ... + 11957.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

21273728 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 1273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1273728 is an abundant number, since it is smaller than the sum of its proper divisors (2251392).

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

1273728 is a wasteful number, since it uses less digits than its factorization.

1273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 1273728 is about 1128.5955874449. The cubic root of 1273728 is about 108.3990722632.

It can be divided in two parts, 12 and 73728, that multiplied together give a cube (884736 = 963).

The spelling of 1273728 in words is "one million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 107 124 128 186 192 214 248 321 372 384 428 496 642 744 856 992 1284 1488 1712 1984 2568 2976 3317 3424 3968 5136 5952 6634 6848 9951 10272 11904 13268 13696 19902 20544 26536 39804 41088 53072 79608 106144 159216 212288 318432 424576 636864 1273728