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83208270 = 23541611109
BaseRepresentation
bin1001111010110…
…10100001001110
312210120102021210
410331122201032
5132300131040
612131235250
72030154465
oct475324116
9183512253
1083208270
1142a72672
1223a48b26
1314314782
14b09d9dc
157489480
hex4f5a84e

83208270 has 64 divisors (see below), whose sum is σ = 208111680. Its totient is φ = 21273600.

The previous prime is 83208263. The next prime is 83208271. The reversal of 83208270 is 7280238.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83208271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74476 + ... + 75584.

It is an arithmetic number, because the mean of its divisors is an integer number (3251745).

Almost surely, 283208270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83208270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104055840).

83208270 is an abundant number, since it is smaller than the sum of its proper divisors (124903410).

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

83208270 is a wasteful number, since it uses less digits than its factorization.

83208270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83208270 is about 9121.8567188923. The cubic root of 83208270 is about 436.5716171990.

The spelling of 83208270 in words is "eighty-three million, two hundred eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 61 82 122 123 183 205 246 305 366 410 610 615 915 1109 1230 1830 2218 2501 3327 5002 5545 6654 7503 11090 12505 15006 16635 25010 33270 37515 45469 67649 75030 90938 135298 136407 202947 227345 272814 338245 405894 454690 676490 682035 1014735 1364070 2029470 2773609 5547218 8320827 13868045 16641654 27736090 41604135 83208270