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143628672 = 2731137919
BaseRepresentation
bin10001000111110…
…01100110000000
3101000021002111110
420203321212000
5243232104142
622130243320
73362552325
oct1043714600
9330232443
10143628672
1174090390
1240126540
13239aaba5
141510ab4c
15c92199c
hex88f9980

143628672 has 128 divisors (see below), whose sum is σ = 427910400. Its totient is φ = 42301440.

The previous prime is 143628647. The next prime is 143628679. The reversal of 143628672 is 276826341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 143628672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143628679) 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 15 ways as a sum of consecutive naturals, for example, 155829 + ... + 156747.

It is an arithmetic number, because the mean of its divisors is an integer number (3343050).

Almost surely, 2143628672 is an apocalyptic number.

143628672 is a gapful number since it is divisible by the number (12) 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 143628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213955200).

143628672 is an abundant number, since it is smaller than the sum of its proper divisors (284281728).

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

143628672 is a wasteful number, since it uses less digits than its factorization.

143628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 143628672 is about 11984.5180128364. The cubic root of 143628672 is about 523.6973564615.

The spelling of 143628672 in words is "one hundred forty-three million, six hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 919 1056 1184 1221 1408 1628 1776 1838 2112 2368 2442 2757 3256 3552 3676 4224 4736 4884 5514 6512 7104 7352 9768 10109 11028 13024 14208 14704 19536 20218 22056 26048 29408 30327 34003 39072 40436 44112 52096 58816 60654 68006 78144 80872 88224 102009 117632 121308 136012 156288 161744 176448 204018 242616 272024 323488 352896 374033 408036 485232 544048 646976 748066 816072 970464 1088096 1122099 1293952 1496132 1632144 1940928 2176192 2244198 2992264 3264288 3881856 4352384 4488396 5984528 6528576 8976792 11969056 13057152 17953584 23938112 35907168 47876224 71814336 143628672