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143640864 = 2534151367
BaseRepresentation
bin10001000111111…
…00100100100000
3101000021201020000
420203330210200
5243233001424
622130420000
73362633013
oct1043744440
9330251200
10143640864
1174099564
1240131600
13239b35c3
141511137a
15c9253c9
hex88fc920

143640864 has 120 divisors (see below), whose sum is σ = 426400128. Its totient is φ = 47433600.

The previous prime is 143640863. The next prime is 143640899. The reversal of 143640864 is 468046341.

143640864 is a `hidden beast` number, since 1 + 4 + 3 + 640 + 8 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (143640863) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 391209 + ... + 391575.

Almost surely, 2143640864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213200064).

143640864 is an abundant number, since it is smaller than the sum of its proper divisors (282759264).

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

143640864 is a wasteful number, since it uses less digits than its factorization.

143640864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 143640864 is about 11985.0266582933. The cubic root of 143640864 is about 523.7121741564.

The spelling of 143640864 in words is "one hundred forty-three million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 288 302 324 367 432 453 604 648 734 864 906 1101 1208 1296 1359 1468 1812 2202 2416 2592 2718 2936 3303 3624 4077 4404 4832 5436 5872 6606 7248 8154 8808 9909 10872 11744 12231 13212 14496 16308 17616 19818 21744 24462 26424 29727 32616 35232 39636 43488 48924 52848 55417 59454 65232 79272 97848 105696 110834 118908 130464 158544 166251 195696 221668 237816 317088 332502 391392 443336 475632 498753 665004 886672 951264 997506 1330008 1496259 1773344 1995012 2660016 2992518 3990024 4488777 5320032 5985036 7980048 8977554 11970072 15960096 17955108 23940144 35910216 47880288 71820432 143640864