Search a number
-
+
1145365120 = 2757512383
BaseRepresentation
bin100010001000100…
…1110001010000000
32221211012120120101
41010101032022000
54321203140440
6305353052144
740245304624
oct10421161200
92854176511
101145365120
1153858a849
1227b6b7054
131533a5553
14ac18b184
156a84769a
hex4444e280

1145365120 has 64 divisors (see below), whose sum is σ = 2742935040. Its totient is φ = 457344000.

The previous prime is 1145365099. The next prime is 1145365159. The reversal of 1145365120 is 215635411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11453651202 = 2623722516225228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479449 + ... + 481831.

It is an arithmetic number, because the mean of its divisors is an integer number (42858360).

Almost surely, 21145365120 is an apocalyptic number.

1145365120 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 1145365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371467520).

1145365120 is an abundant number, since it is smaller than the sum of its proper divisors (1597569920).

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

1145365120 is an equidigital number, since it uses as much as digits as its factorization.

1145365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1145365120 is about 33843.2433433913. The cubic root of 1145365120 is about 1046.2801463165.

The spelling of 1145365120 in words is "one billion, one hundred forty-five million, three hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 751 1502 2383 3004 3755 4766 6008 7510 9532 11915 12016 15020 19064 23830 24032 30040 38128 47660 48064 60080 76256 95320 96128 120160 152512 190640 240320 305024 381280 480640 762560 1525120 1789633 3579266 7158532 8948165 14317064 17896330 28634128 35792660 57268256 71585320 114536512 143170640 229073024 286341280 572682560 1145365120