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82940130 = 232571321941
BaseRepresentation
bin1001111000110…
…01000011100010
312210001210110200
410330121003202
5132213041010
612121410030
72024656650
oct474310342
9183053420
1082940130
11428aa169
1223939916
131424c700
14b02ddd0
157434cc0
hex4f190e2

82940130 has 288 divisors, whose sum is σ = 287763840. Its totient is φ = 16174080.

The previous prime is 82940113. The next prime is 82940131. The reversal of 82940130 is 3104928.

It is a junction number, because it is equal to n+sod(n) for n = 82940094 and 82940103.

It is not an unprimeable number, because it can be changed into a prime (82940131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2022910 + ... + 2022950.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 282940130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82940130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881920).

82940130 is an abundant number, since it is smaller than the sum of its proper divisors (204823710).

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

82940130 is a wasteful number, since it uses less digits than its factorization.

82940130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82940130 is about 9107.1471932763. The cubic root of 82940130 is about 436.1021595192.

The spelling of 82940130 in words is "eighty-two million, nine hundred forty thousand, one hundred thirty".