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1085989764 = 2231913934267
BaseRepresentation
bin100000010111010…
…1110001110000100
32210200110222220010
41000232232032010
54211003133024
6255432310220
735624521626
oct10056561604
92720428803
101085989764
11508016202
12263842370
13143cb69c2
14a4332c16
1565519b29
hex40bae384

1085989764 has 48 divisors (see below), whose sum is σ = 2686611200. Its totient is φ = 340466976.

The previous prime is 1085989763. The next prime is 1085989789. The reversal of 1085989764 is 4679895801.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1085989763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14559 + ... + 48825.

Almost surely, 21085989764 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 1085989764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343305600).

1085989764 is an abundant number, since it is smaller than the sum of its proper divisors (1600621436).

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

1085989764 is a wasteful number, since it uses less digits than its factorization.

1085989764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34432 (or 34430 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 1085989764 is about 32954.3588012269. The cubic root of 1085989764 is about 1027.8788042157.

The spelling of 1085989764 in words is "one billion, eighty-five million, nine hundred eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2641 5282 7923 10564 15846 31692 34267 68534 102801 137068 205602 411204 651073 1302146 1953219 2604292 3906438 4763113 7812876 9526226 14289339 19052452 28578678 57157356 90499147 180998294 271497441 361996588 542994882 1085989764