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84146140 = 22513378747
BaseRepresentation
bin1010000001111…
…11011111011100
312212100001210201
411000333133130
5133020134030
612203313244
72041142011
oct500773734
9185301721
1084146140
1143553271
122421b824
1314582620
14b265708
1575c22ca
hex503f7dc

84146140 has 48 divisors (see below), whose sum is σ = 195465312. Its totient is φ = 30226176.

The previous prime is 84146131. The next prime is 84146149. The reversal of 84146140 is 4164148.

It is an interprime number because it is at equal distance from previous prime (84146131) and next prime (84146149).

It is a junction number, because it is equal to n+sod(n) for n = 84146099 and 84146108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84146149) 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, 5247 + ... + 13993.

It is an arithmetic number, because the mean of its divisors is an integer number (4072194).

Almost surely, 284146140 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 84146140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97732656).

84146140 is an abundant number, since it is smaller than the sum of its proper divisors (111319172).

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

84146140 is a wasteful number, since it uses less digits than its factorization.

84146140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8804 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 84146140 is about 9173.1205159422. The cubic root of 84146140 is about 438.2057441963.

The spelling of 84146140 in words is "eighty-four million, one hundred forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 8747 9620 17494 34988 43735 87470 113711 174940 227422 323639 454844 568555 647278 1137110 1294556 1618195 2274220 3236390 4207307 6472780 8414614 16829228 21036535 42073070 84146140