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83143840 = 2551371563
BaseRepresentation
bin1001111010010…
…10110010100000
312210110010220111
410331022302200
5132241100330
612130021104
72026465603
oct475126240
9183403814
1083143840
1142a2921a
1223a17794
13142c1350
14b08433a
15747532a
hex4f4aca0

83143840 has 96 divisors (see below), whose sum is σ = 214897536. Its totient is φ = 30213120.

The previous prime is 83143831. The next prime is 83143843. The reversal of 83143840 is 4834138.

It is not an unprimeable number, because it can be changed into a prime (83143843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147399 + ... + 147961.

It is an arithmetic number, because the mean of its divisors is an integer number (2238516).

Almost surely, 283143840 is an apocalyptic number.

83143840 is a gapful number since it is divisible by the number (80) 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 83143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448768).

83143840 is an abundant number, since it is smaller than the sum of its proper divisors (131753696).

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

83143840 is a wasteful number, since it uses less digits than its factorization.

83143840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 83143840 is about 9118.3244074775. The cubic root of 83143840 is about 436.4589057560.

Adding to 83143840 its reverse (4834138), we get a palindrome (87977978).

The spelling of 83143840 in words is "eighty-three million, one hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 563 568 710 923 1040 1126 1136 1420 1846 2080 2252 2272 2815 2840 3692 4504 4615 5630 5680 7319 7384 9008 9230 11260 11360 14638 14768 18016 18460 22520 29276 29536 36595 36920 39973 45040 58552 73190 73840 79946 90080 117104 146380 147680 159892 199865 234208 292760 319784 399730 519649 585520 639568 799460 1039298 1171040 1279136 1598920 2078596 2598245 3197840 4157192 5196490 6395680 8314384 10392980 16628768 20785960 41571920 83143840