[go: up one dir, main page]

Search a number
-
+
1087728 = 243173143
BaseRepresentation
bin100001001100011110000
32001021002020
410021203300
5234301403
635151440
712150135
oct4114360
92037066
101087728
11683254
12445580
132c1135
1420458c
15167453
hex1098f0

1087728 has 80 divisors (see below), whose sum is σ = 3142656. Its totient is φ = 322560.

The previous prime is 1087717. The next prime is 1087729. The reversal of 1087728 is 8277801.

It is a super-3 number, since 3×10877283 = 3860843335078957056, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087729) 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, 25275 + ... + 25317.

21087728 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 1087728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571328).

1087728 is an abundant number, since it is smaller than the sum of its proper divisors (2054928).

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

1087728 is a wasteful number, since it uses less digits than its factorization.

1087728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 1087728 is about 1042.9419926343. The cubic root of 1087728 is about 102.8426919733.

The spelling of 1087728 in words is "one million, eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 43 48 51 62 68 86 93 102 124 129 136 172 186 204 248 258 272 344 372 408 496 516 527 688 731 744 816 1032 1054 1333 1462 1488 1581 2064 2108 2193 2666 2924 3162 3999 4216 4386 5332 5848 6324 7998 8432 8772 10664 11696 12648 15996 17544 21328 22661 25296 31992 35088 45322 63984 67983 90644 135966 181288 271932 362576 543864 1087728