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92680 = 2357331
BaseRepresentation
bin10110101000001000
311201010121
4112220020
510431210
61553024
7534130
oct265010
9151117
1092680
11636a5
1245774
1333253
1425ac0
151c6da
hex16a08

92680 has 32 divisors (see below), whose sum is σ = 239040. Its totient is φ = 31680.

The previous prime is 92671. The next prime is 92681. The reversal of 92680 is 8629.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (92681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (7470).

292680 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 92680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520).

92680 is an abundant number, since it is smaller than the sum of its proper divisors (146360).

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

92680 is a wasteful number, since it uses less digits than its factorization.

92680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 92680 is about 304.4339008718. The cubic root of 92680 is about 45.2545247452.

The spelling of 92680 in words is "ninety-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1655 2317 2648 3310 4634 6620 9268 11585 13240 18536 23170 46340 92680