Search a number
-
+
1128681792 = 263271571783
BaseRepresentation
bin100001101000110…
…0101000101000000
32220122210222100100
41003101211011000
54302420304132
6303555322400
736653431320
oct10321450500
92818728310
101128681792
1152a125377
12275bb0400
1314cab3964
14a9c87280
156914e37c
hex43465140

1128681792 has 168 divisors, whose sum is σ = 3722965376. Its totient is φ = 320246784.

The previous prime is 1128681779. The next prime is 1128681823. The reversal of 1128681792 is 2971868211.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632133 + ... + 633915.

Almost surely, 21128681792 is an apocalyptic number.

1128681792 is a gapful number since it is divisible by the number (12) 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 1128681792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861482688).

1128681792 is an abundant number, since it is smaller than the sum of its proper divisors (2594283584).

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

1128681792 is a wasteful number, since it uses less digits than its factorization.

1128681792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1952 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1128681792 is about 33595.8597449150. The cubic root of 1128681792 is about 1041.1752591612.

The spelling of 1128681792 in words is "one billion, one hundred twenty-eight million, six hundred eighty-one thousand, seven hundred ninety-two".