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143083968 = 2631759743
BaseRepresentation
bin10001000011101…
…00100111000000
3100222020102022020
420201310213000
5243112141333
622110441440
73355123266
oct1041644700
9328212266
10143083968
1173849115
123bb03280
1323849c91
1415008436
15c8653b3
hex88749c0

143083968 has 112 divisors (see below), whose sum is σ = 408188160. Its totient is φ = 44068864.

The previous prime is 143083937. The next prime is 143083987. The reversal of 143083968 is 869380341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192205 + ... + 192947.

Almost surely, 2143083968 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 143083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204094080).

143083968 is an abundant number, since it is smaller than the sum of its proper divisors (265104192).

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

143083968 is a wasteful number, since it uses less digits than its factorization.

143083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 143083968 is about 11961.7711063203. The cubic root of 143083968 is about 523.0344864517.

The spelling of 143083968 in words is "one hundred forty-three million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 136 177 192 204 236 272 354 408 472 544 708 743 816 944 1003 1088 1416 1486 1632 1888 2006 2229 2832 2972 3009 3264 3776 4012 4458 5664 5944 6018 8024 8916 11328 11888 12036 12631 16048 17832 23776 24072 25262 32096 35664 37893 43837 47552 48144 50524 64192 71328 75786 87674 96288 101048 131511 142656 151572 175348 192576 202096 263022 303144 350696 404192 526044 606288 701392 745229 808384 1052088 1212576 1402784 1490458 2104176 2235687 2425152 2805568 2980916 4208352 4471374 5961832 8416704 8942748 11923664 17885496 23847328 35770992 47694656 71541984 143083968