Search a number
-
+
69108384 = 2531913769
BaseRepresentation
bin1000001111010…
…00001010100000
311211001001212210
410013220022200
5120142432014
610505122120
71466261112
oct407501240
9154031783
1069108384
1136012174
121b189340
1311418a47
14926d3b2
156101859
hex41e82a0

69108384 has 48 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 22909440.

The previous prime is 69108379. The next prime is 69108401. The reversal of 69108384 is 48380196.

It is a tau number, because it is divible by the number of its divisors (48).

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, 16452 + ... + 20220.

It is an arithmetic number, because the mean of its divisors is an integer number (3800160).

Almost surely, 269108384 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 69108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

69108384 is an abundant number, since it is smaller than the sum of its proper divisors (113299296).

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

69108384 is a wasteful number, since it uses less digits than its factorization.

69108384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 69108384 is about 8313.1452531518. The cubic root of 69108384 is about 410.3712362378.

The spelling of 69108384 in words is "sixty-nine million, one hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 3769 4584 6112 7538 9168 11307 15076 18336 22614 30152 45228 60304 90456 120608 180912 361824 719879 1439758 2159637 2879516 4319274 5759032 8638548 11518064 17277096 23036128 34554192 69108384