Search a number
-
+
1087864480 = 25541165833
BaseRepresentation
bin100000011010111…
…0111111010100000
32210211000020112001
41000311313322200
54211443130410
6255540413344
735646460363
oct10065677240
92724006461
101087864480
1150908675a
122643a7254
131444c20c1
14a46a00da
156578a33a
hex40d77ea0

1087864480 has 48 divisors (see below), whose sum is σ = 2632780584. Its totient is φ = 424529920.

The previous prime is 1087864471. The next prime is 1087864499. The reversal of 1087864480 is 844687801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 309900816 + 777963664 = 17604^2 + 27892^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1087864480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76357 + ... + 89476.

Almost surely, 21087864480 is an apocalyptic number.

1087864480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1087864480 is an abundant number, since it is smaller than the sum of its proper divisors (1544916104).

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

1087864480 is a wasteful number, since it uses less digits than its factorization.

1087864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165889 (or 165881 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 1087864480 is about 32982.7906642237. The cubic root of 1087864480 is about 1028.4699310488.

The spelling of 1087864480 in words is "one billion, eighty-seven million, eight hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 165833 331666 663332 829165 1326664 1658330 2653328 3316660 5306656 6633320 6799153 13266640 13598306 26533280 27196612 33995765 54393224 67991530 108786448 135983060 217572896 271966120 543932240 1087864480