Search a number
-
+
1128908460 = 2235176716519
BaseRepresentation
bin100001101001001…
…1100011010101100
32220200020111021110
41003102130122230
54303000032320
6304004232020
736655364211
oct10322343254
92820214243
101128908460
1152a26a6a9
1227609b610
1314cb62b94
14a9d05b08
15691965e0
hex4349c6ac

1128908460 has 96 divisors (see below), whose sum is σ = 3397040640. Its totient is φ = 279088128.

The previous prime is 1128908453. The next prime is 1128908479. The reversal of 1128908460 is 648098211.

It is a super-2 number, since 2×11289084602 = 2548868622119143200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60081 + ... + 76599.

It is an arithmetic number, because the mean of its divisors is an integer number (35385840).

Almost surely, 21128908460 is an apocalyptic number.

1128908460 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 1128908460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698520320).

1128908460 is an abundant number, since it is smaller than the sum of its proper divisors (2268132180).

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

1128908460 is a wasteful number, since it uses less digits than its factorization.

1128908460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1128908460 is about 33599.2330269606. The cubic root of 1128908460 is about 1041.2449526505.

The spelling of 1128908460 in words is "one billion, one hundred twenty-eight million, nine hundred eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1340 2010 2278 3417 4020 4556 5695 6834 11390 13668 16519 17085 22780 33038 34170 49557 66076 68340 82595 99114 165190 198228 247785 280823 330380 495570 561646 842469 991140 1106773 1123292 1404115 1684938 2213546 2808230 3320319 3369876 4212345 4427092 5533865 5616460 6640638 8424690 11067730 13281276 16601595 16849380 18815141 22135460 33203190 37630282 56445423 66406380 75260564 94075705 112890846 188151410 225781692 282227115 376302820 564454230 1128908460