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35980 = 2257257
BaseRepresentation
bin1000110010001100
31211100121
420302030
52122410
6434324
7206620
oct106214
954317
1035980
112503a
12189a4
13134b9
14d180
15a9da
hex8c8c

35980 has 24 divisors (see below), whose sum is σ = 86688. Its totient is φ = 12288.

The previous prime is 35977. The next prime is 35983. The reversal of 35980 is 8953.

35980 = T4 + T5 + ... + T59.

It is an interprime number because it is at equal distance from previous prime (35977) and next prime (35983).

35980 is an undulating number in base 16.

It is not an unprimeable number, because it can be changed into a prime (35983) 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, 12 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (3612).

235980 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 35980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43344).

35980 is an abundant number, since it is smaller than the sum of its proper divisors (50708).

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

35980 is a wasteful number, since it uses less digits than its factorization.

35980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 35980 is about 189.6839476603. The cubic root of 35980 is about 33.0131566762.

The spelling of 35980 in words is "thirty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 17990 35980