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1145804868 = 2232138927509
BaseRepresentation
bin100010001001011…
…1001100001000100
32221212000220210100
41010102321201010
54321311223433
6305410324100
740252115655
oct10422714104
92855026710
101145804868
1153886017a
1227b889630
131534ca760
14ac26352c
156a8d2b13
hex444b9844

1145804868 has 72 divisors (see below), whose sum is σ = 3154296600. Its totient is φ = 348581376.

The previous prime is 1145804833. The next prime is 1145804917. The reversal of 1145804868 is 8684085411.

1145804868 is a `hidden beast` number, since 1 + 1 + 4 + 580 + 4 + 8 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67864644 + 1077940224 = 8238^2 + 32832^2 .

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, 27898 + ... + 55406.

It is an arithmetic number, because the mean of its divisors is an integer number (43809675).

Almost surely, 21145804868 is an apocalyptic number.

1145804868 is a gapful number since it is divisible by the number (18) 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 1145804868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577148300).

1145804868 is an abundant number, since it is smaller than the sum of its proper divisors (2008491732).

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

1145804868 is a wasteful number, since it uses less digits than its factorization.

1145804868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27621 (or 27616 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1145804868 is about 33849.7395558666. The cubic root of 1145804868 is about 1046.4140310557.

The spelling of 1145804868 in words is "one billion, one hundred forty-five million, eight hundred four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20826 27509 41652 55018 82527 110036 165054 247581 330108 357617 495162 715234 990324 1072851 1430468 2145702 2448301 3218553 4291404 4896602 6437106 7344903 9793204 12874212 14689806 22034709 29379612 31827913 44069418 63655826 88138836 95483739 127311652 190967478 286451217 381934956 572902434 1145804868