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69940 = 22513269
BaseRepresentation
bin10001000100110100
310112221101
4101010310
54214230
61255444
7410623
oct210464
9115841
1069940
1148602
1234584
1325ab0
141b6ba
1515aca
hex11134

69940 has 24 divisors (see below), whose sum is σ = 158760. Its totient is φ = 25728.

The previous prime is 69931. The next prime is 69941. The reversal of 69940 is 4996.

69940 = T38 + T39 + ... + T77.

69940 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 68644 = 36^2 + 262^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 69899 and 69908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69941) 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, 126 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

269940 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 69940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

69940 is an abundant number, since it is smaller than the sum of its proper divisors (88820).

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

69940 is a wasteful number, since it uses less digits than its factorization.

69940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

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

The square root of 69940 is about 264.4617174564. The cubic root of 69940 is about 41.2010745313.

The spelling of 69940 in words is "sixty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2690 3497 5380 6994 13988 17485 34970 69940