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83760140 = 22531532549
BaseRepresentation
bin1001111111000…
…01010000001100
312211121110022102
410333201100030
5132420311030
612151134232
72034643442
oct477412014
9184543272
1083760140
114330a262
1224074378
1314478a19
14b1a4b92
157547c45
hex4fe140c

83760140 has 48 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 31799040.

The previous prime is 83760133. The next prime is 83760143. The reversal of 83760140 is 4106738.

It is a super-2 number, since 2×837601402 = 14031522105639200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83760143) 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, 31586 + ... + 34134.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 283760140 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 83760140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

83760140 is an abundant number, since it is smaller than the sum of its proper divisors (101308660).

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

83760140 is a wasteful number, since it uses less digits than its factorization.

83760140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 83760140 is about 9152.0565994753. The cubic root of 83760140 is about 437.5346628318.

Adding to 83760140 its reverse (4106738), we get a palindrome (87866878).

The spelling of 83760140 in words is "eighty-three million, seven hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 2549 3286 5098 6572 8215 10196 12745 16430 25490 32860 50980 79019 135097 158038 270194 316076 395095 540388 675485 790190 1350970 1580380 2701940 4188007 8376014 16752028 20940035 41880070 83760140