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143432064 = 2732196553
BaseRepresentation
bin10001000110010…
…01100110000000
3100222220002210200
420203021212000
5243204311224
622122125200
73361103166
oct1043114600
9328802720
10143432064
1173a666a6
1240050800
132393c559
1415099236
15c8d35c9
hex88c9980

143432064 has 96 divisors (see below), whose sum is σ = 434530200. Its totient is φ = 45287424.

The previous prime is 143432033. The next prime is 143432099. The reversal of 143432064 is 460234341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18612 + ... + 25164.

Almost surely, 2143432064 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 143432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217265100).

143432064 is an abundant number, since it is smaller than the sum of its proper divisors (291098136).

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

143432064 is a wasteful number, since it uses less digits than its factorization.

143432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 143432064 is about 11976.3126211702. The cubic root of 143432064 is about 523.4582906701.

The spelling of 143432064 in words is "one hundred forty-three million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 6553 7296 10944 13106 19659 21888 26212 39318 52424 58977 78636 104848 117954 124507 157272 209696 235908 249014 314544 373521 419392 471816 498028 629088 747042 838784 943632 996056 1120563 1258176 1494084 1887264 1992112 2241126 2516352 2988168 3774528 3984224 4482252 5976336 7549056 7968448 8964504 11952672 15936896 17929008 23905344 35858016 47810688 71716032 143432064