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1144169820 = 223352118833
BaseRepresentation
bin100010000110010…
…1010010101011100
32221201221211221000
41010030222111130
54320401413240
6305311310300
740232166033
oct10414522534
92851854830
101144169820
115379437a2
1227b21b390
13153077481
14abd5971a
156a6ad430
hex4432a55c

1144169820 has 48 divisors (see below), whose sum is σ = 3559641120. Its totient is φ = 305111808.

The previous prime is 1144169809. The next prime is 1144169827. The reversal of 1144169820 is 289614411.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144169827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058877 + ... + 1059956.

It is an arithmetic number, because the mean of its divisors is an integer number (74159190).

Almost surely, 21144169820 is an apocalyptic number.

1144169820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144169820 is an abundant number, since it is smaller than the sum of its proper divisors (2415471300).

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

1144169820 is a wasteful number, since it uses less digits than its factorization.

1144169820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118851 (or 2118843 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1144169820 is about 33825.5793741955. The cubic root of 1144169820 is about 1045.9160545706.

The spelling of 1144169820 in words is "one billion, one hundred forty-four million, one hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2118833 4237666 6356499 8475332 10594165 12712998 19069497 21188330 25425996 31782495 38138994 42376660 57208491 63564990 76277988 95347485 114416982 127129980 190694970 228833964 286042455 381389940 572084910 1144169820