Search a number
-
+
69031872 = 2633713439
BaseRepresentation
bin1000001110101…
…01011111000000
311210220011221000
410013111133000
5120133004442
610503332000
71465522050
oct407253700
9153804830
1069031872
1135a6a738
121b151000
13113bcc80
14924d560
1560d8d4c
hex41d57c0

69031872 has 224 divisors, whose sum is σ = 250342400. Its totient is φ = 18164736.

The previous prime is 69031789. The next prime is 69031873. The reversal of 69031872 is 27813096.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69031873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157029 + ... + 157467.

It is an arithmetic number, because the mean of its divisors is an integer number (1117600).

Almost surely, 269031872 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 69031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125171200).

69031872 is an abundant number, since it is smaller than the sum of its proper divisors (181310528).

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

69031872 is a wasteful number, since it uses less digits than its factorization.

69031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 69031872 is about 8308.5421103825. The cubic root of 69031872 is about 410.2197354758.

The spelling of 69031872 in words is "sixty-nine million, thirty-one thousand, eight hundred seventy-two".