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1145084160 = 28351127109
BaseRepresentation
bin100010001000000…
…1001100100000000
32221210200022011110
41010100021210000
54321120143120
6305343043320
740243024533
oct10420114400
92853608143
101145084160
11538408750
1227b5a0540
131533076bc
14ac116a1a
156a7de2e0
hex44409900

1145084160 has 144 divisors (see below), whose sum is σ = 3989724480. Its totient is φ = 277585920.

The previous prime is 1145084137. The next prime is 1145084173. The reversal of 1145084160 is 614805411.

It is a super-2 number, since 2×11450841602 = 2622435466965811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28686 + ... + 55794.

It is an arithmetic number, because the mean of its divisors is an integer number (27706420).

Almost surely, 21145084160 is an apocalyptic number.

1145084160 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 1145084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994862240).

1145084160 is an abundant number, since it is smaller than the sum of its proper divisors (2844640320).

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

1145084160 is a wasteful number, since it uses less digits than its factorization.

1145084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27144 (or 27130 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1145084160 is about 33839.0921864048. The cubic root of 1145084160 is about 1046.1945878907.

Adding to 1145084160 its reverse (614805411), we get a palindrome (1759889571).

The spelling of 1145084160 in words is "one billion, one hundred forty-five million, eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 27109 42240 54218 81327 108436 135545 162654 216872 271090 298199 325308 406635 433744 542180 596398 650616 813270 867488 894597 1084360 1192796 1301232 1490995 1626540 1734976 1789194 2168720 2385592 2602464 2981990 3253080 3469952 3578388 4337440 4472985 4771184 5204928 5963980 6506160 6939904 7156776 8674880 8945970 9542368 10409856 11927960 13012320 14313552 17349760 17891940 19084736 20819712 23855920 26024640 28627104 34699520 35783880 38169472 47711840 52049280 57254208 71567760 76338944 95423680 104098560 114508416 143135520 190847360 229016832 286271040 381694720 572542080 1145084160