Search a number
-
+
1087807248 = 243211798693
BaseRepresentation
bin100000011010110…
…1001111100010000
32210210220100000100
41000311221330100
54211434312443
6255535252400
735646131463
oct10065517420
92723810010
101087807248
11509047760
1226437a100
131444a2038
14a46872da
15657783d3
hex40d69f10

1087807248 has 120 divisors (see below), whose sum is σ = 3363534720. Its totient is φ = 325428480.

The previous prime is 1087807229. The next prime is 1087807277. The reversal of 1087807248 is 8427087801.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120790 + ... + 129482.

It is an arithmetic number, because the mean of its divisors is an integer number (28029456).

Almost surely, 21087807248 is an apocalyptic number.

1087807248 is a gapful number since it is divisible by the number (18) 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 1087807248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681767360).

1087807248 is an abundant number, since it is smaller than the sum of its proper divisors (2275727472).

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

1087807248 is a wasteful number, since it uses less digits than its factorization.

1087807248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 1087807248 is about 32981.9230488460. The cubic root of 1087807248 is about 1028.4518949716.

The spelling of 1087807248 in words is "one billion, eighty-seven million, eight hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 264 316 396 474 528 632 711 792 869 948 1264 1422 1584 1738 1896 2607 2844 3476 3792 5214 5688 6952 7821 8693 10428 11376 13904 15642 17386 20856 26079 31284 34772 41712 52158 62568 69544 78237 95623 104316 125136 139088 156474 191246 208632 286869 312948 382492 417264 573738 625896 686747 764984 860607 1147476 1251792 1373494 1529968 1721214 2060241 2294952 2746988 3442428 4120482 4589904 5493976 6180723 6884856 7554217 8240964 10987952 12361446 13769712 15108434 16481928 22662651 24722892 30216868 32963856 45325302 49445784 60433736 67987953 90650604 98891568 120867472 135975906 181301208 271951812 362602416 543903624 1087807248