Search a number
-
+
1089940768 = 25717832729
BaseRepresentation
bin100000011110111…
…0010110100100000
32210221220201122121
41000331302310200
54213011101033
6300053114024
736003225610
oct10075626440
92727821577
101089940768
1150a2746a4
12265028914
13144a6b187
14a4a80a40
1565a4a62d
hex40f72d20

1089940768 has 48 divisors (see below), whose sum is σ = 2454641280. Its totient is φ = 466684416.

The previous prime is 1089940759. The next prime is 1089940769. The reversal of 1089940768 is 8670499801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1089940769) 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 7 ways as a sum of consecutive naturals, for example, 398028 + ... + 400756.

It is an arithmetic number, because the mean of its divisors is an integer number (51138360).

Almost surely, 21089940768 is an apocalyptic number.

It is an amenable number.

1089940768 is an abundant number, since it is smaller than the sum of its proper divisors (1364700512).

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

1089940768 is a wasteful number, since it uses less digits than its factorization.

1089940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1089940768 is about 33014.2509834768. The cubic root of 1089940768 is about 1029.1238245927.

The spelling of 1089940768 in words is "one billion, eighty-nine million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1783 2729 3566 5458 7132 10916 12481 14264 19103 21832 24962 28528 38206 43664 49924 57056 76412 87328 99848 152824 199696 305648 399392 611296 4865807 9731614 19463228 34060649 38926456 68121298 77852912 136242596 155705824 272485192 544970384 1089940768