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96940 = 22537131
BaseRepresentation
bin10111101010101100
311220222101
4113222230
511100230
62024444
7552424
oct275254
9156871
1096940
1166918
1248124
133517c
1427484
151daca
hex17aac

96940 has 24 divisors (see below), whose sum is σ = 210672. Its totient is φ = 37440.

The previous prime is 96931. The next prime is 96953. The reversal of 96940 is 4969.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 96899 and 96908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

296940 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 96940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

96940 is an abundant number, since it is smaller than the sum of its proper divisors (113732).

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

96940 is a wasteful number, since it uses less digits than its factorization.

96940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 96940 is about 311.3518909530. The cubic root of 96940 is about 45.9375333580.

The spelling of 96940 in words is "ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 524 655 740 1310 2620 4847 9694 19388 24235 48470 96940