Search a number
-
+
269470080 = 27325114253
BaseRepresentation
bin10000000011111…
…100100110000000
3200210001111110100
4100003330212000
51022441020310
642423402400
76451313025
oct2003744600
9623044410
10269470080
11129121950
12762b3400
1343a9b869
1427b0754c
15189ccec0
hex100fc980

269470080 has 192 divisors, whose sum is σ = 1015344720. Its totient is φ = 65310720.

The previous prime is 269470039. The next prime is 269470087. The reversal of 269470080 is 80074962.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2694700802 = 145228248030412800, which contains 22 as substring.

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 (269470087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61234 + ... + 65486.

Almost surely, 2269470080 is an apocalyptic number.

269470080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507672360).

269470080 is an abundant number, since it is smaller than the sum of its proper divisors (745874640).

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

269470080 is a wasteful number, since it uses less digits than its factorization.

269470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 269470080 is about 16415.5438533117. The cubic root of 269470080 is about 645.9072863586.

The spelling of 269470080 in words is "two hundred sixty-nine million, four hundred seventy thousand, eighty".