Search a number
-
+
1087460780 = 225731331757
BaseRepresentation
bin100000011010001…
…0101010110101100
32210210020201202012
41000310111112230
54211342221110
6255524020352
735643156410
oct10064252654
92723221665
101087460780
1150893041a
122642316b8
131443b0423
14a45d6d40
156570a905
hex40d155ac

1087460780 has 96 divisors (see below), whose sum is σ = 2705805312. Its totient is φ = 359251200.

The previous prime is 1087460729. The next prime is 1087460807. The reversal of 1087460780 is 870647801.

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 31 ways as a sum of consecutive naturals, for example, 1436162 + ... + 1436918.

It is an arithmetic number, because the mean of its divisors is an integer number (28185472).

Almost surely, 21087460780 is an apocalyptic number.

1087460780 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 1087460780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352902656).

1087460780 is an abundant number, since it is smaller than the sum of its proper divisors (1618344532).

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

1087460780 is a wasteful number, since it uses less digits than its factorization.

1087460780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 1087460780 is about 32976.6702382154. The cubic root of 1087460780 is about 1028.3426956293.

The spelling of 1087460780 in words is "one billion, eighty-seven million, four hundred sixty thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 331 434 620 662 757 868 1085 1324 1514 1655 2170 2317 3028 3310 3785 4340 4634 5299 6620 7570 9268 10261 10598 11585 15140 20522 21196 23170 23467 26495 41044 46340 46934 51305 52990 71827 93868 102610 105980 117335 143654 164269 205220 234670 250567 287308 328538 359135 469340 501134 657076 718270 821345 1002268 1252835 1436540 1642690 1753969 2505670 3285380 3507938 5011340 7015876 7767577 8769845 15535154 17539690 31070308 35079380 38837885 54373039 77675770 108746078 155351540 217492156 271865195 543730390 1087460780