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91940 = 2254597
BaseRepresentation
bin10110011100100100
311200010012
4112130210
510420230
61545352
7532022
oct263444
9150105
1091940
1163092
1245258
1332b04
1425712
151c395
hex16724

91940 has 12 divisors (see below), whose sum is σ = 193116. Its totient is φ = 36768.

The previous prime is 91939. The next prime is 91943. The reversal of 91940 is 4919.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 73984 = 134^2 + 272^2 .

It is not an unprimeable number, because it can be changed into a prime (91943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2279 + ... + 2318.

It is an arithmetic number, because the mean of its divisors is an integer number (16093).

291940 is an apocalyptic number.

It is an amenable number.

91940 is an abundant number, since it is smaller than the sum of its proper divisors (101176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96558).

91940 is a wasteful number, since it uses less digits than its factorization.

91940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 91940 is about 303.2160945596. The cubic root of 91940 is about 45.1337584000.

It can be divided in two parts, 919 and 40, that added together give a palindrome (959).

The spelling of 91940 in words is "ninety-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 4597 9194 18388 22985 45970 91940