Search a number
-
+
1087796480 = 2851575413
BaseRepresentation
bin100000011010110…
…0111010100000000
32210210212210020112
41000311213110000
54211433441410
6255535130452
735646055211
oct10065472400
92723783215
101087796480
1150903a661
12264373a28
1314449a174
14a4683408
1565775105
hex40d67500

1087796480 has 72 divisors (see below), whose sum is σ = 2622693192. Its totient is φ = 432267264.

The previous prime is 1087796449. The next prime is 1087796483. The reversal of 1087796480 is 846977801.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 1083199744 = 2144^2 + 32912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087796483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198254 + ... + 203666.

Almost surely, 21087796480 is an apocalyptic number.

1087796480 is a gapful number since it is divisible by the number (10) 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 1087796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311346596).

1087796480 is an abundant number, since it is smaller than the sum of its proper divisors (1534896712).

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

1087796480 is an equidigital number, since it uses as much as digits as its factorization.

1087796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 1087796480 is about 32981.7598075057. The cubic root of 1087796480 is about 1028.4485014762.

The spelling of 1087796480 in words is "one billion, eighty-seven million, seven hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 628 640 785 1256 1280 1570 2512 3140 5024 5413 6280 10048 10826 12560 20096 21652 25120 27065 40192 43304 50240 54130 86608 100480 108260 173216 200960 216520 346432 433040 692864 849841 866080 1385728 1699682 1732160 3399364 3464320 4249205 6798728 6928640 8498410 13597456 16996820 27194912 33993640 54389824 67987280 108779648 135974560 217559296 271949120 543898240 1087796480