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97290 = 23252347
BaseRepresentation
bin10111110000001010
311221110100
4113300022
511103130
62030230
7553434
oct276012
9157410
1097290
1167106
1248376
133538b
1427654
151dc60
hex17c0a

97290 has 48 divisors (see below), whose sum is σ = 269568. Its totient is φ = 24288.

The previous prime is 97283. The next prime is 97301. The reversal of 97290 is 9279.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

97290 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2047 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

297290 is an apocalyptic number.

97290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784).

97290 is an abundant number, since it is smaller than the sum of its proper divisors (172278).

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

97290 is a wasteful number, since it uses less digits than its factorization.

97290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97290 is about 311.9134495337. The cubic root of 97290 is about 45.9927524814.

The spelling of 97290 in words is "ninety-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 47 69 90 94 115 138 141 207 230 235 282 345 414 423 470 690 705 846 1035 1081 1410 2070 2115 2162 3243 4230 5405 6486 9729 10810 16215 19458 32430 48645 97290