Search a number
-
+
69580 = 2257271
BaseRepresentation
bin10000111111001100
310112110001
4100333030
54211310
61254044
7406600
oct207714
9115401
1069580
1148305
1234324
1325894
141b500
151593a
hex10fcc

69580 has 36 divisors (see below), whose sum is σ = 172368. Its totient is φ = 23520.

The previous prime is 69557. The next prime is 69593. The reversal of 69580 is 8596.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

69580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

269580 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 69580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

69580 is an abundant number, since it is smaller than the sum of its proper divisors (102788).

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

69580 is a wasteful number, since it uses less digits than its factorization.

69580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 69580 is about 263.7802115398. The cubic root of 69580 is about 41.1302618890.

69580 divided by its sum of digits (28) gives a triangular number (2485 = T70).

The spelling of 69580 in words is "sixty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 17395 34790 69580