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1145335320 = 2332519116657
BaseRepresentation
bin100010001000100…
…0110111000011000
32221211011001200200
41010101012320120
54321201212240
6305352302200
740245122013
oct10421067030
92854131620
101145335320
1153856a418
1227b6a1960
13153394b0c
14ac18037a
156a83d930
hex44446e18

1145335320 has 96 divisors (see below), whose sum is σ = 3742053120. Its totient is φ = 303805440.

The previous prime is 1145335313. The next prime is 1145335337. The reversal of 1145335320 is 235335411.

1145335320 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 335 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60432 + ... + 77088.

It is an arithmetic number, because the mean of its divisors is an integer number (38979720).

Almost surely, 21145335320 is an apocalyptic number.

1145335320 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 1145335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871026560).

1145335320 is an abundant number, since it is smaller than the sum of its proper divisors (2596717800).

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

1145335320 is a wasteful number, since it uses less digits than its factorization.

1145335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1145335320 is about 33842.8030753955. The cubic root of 1145335320 is about 1046.2710722322.

Subtracting from 1145335320 its reverse (235335411), we obtain a palindrome (909999909).

The spelling of 1145335320 in words is "one billion, one hundred forty-five million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3438 3820 4584 5730 6876 7640 8595 11460 13752 16657 17190 22920 33314 34380 49971 66628 68760 83285 99942 133256 149913 166570 199884 249855 299826 333140 399768 499710 599652 666280 749565 999420 1199304 1499130 1998840 2998260 3181487 5996520 6362974 9544461 12725948 15907435 19088922 25451896 28633383 31814870 38177844 47722305 57266766 63629740 76355688 95444610 114533532 127259480 143166915 190889220 229067064 286333830 381778440 572667660 1145335320