Search a number
-
+
135250304 = 277236563
BaseRepresentation
bin10000000111111…
…00000110000000
3100102111102112112
420003330012000
5234111002204
621230514452
73231415520
oct1003740600
9312442475
10135250304
116a388612
1239365a28
1322036487
1413d69680
15bd1926e
hex80fc180

135250304 has 64 divisors (see below), whose sum is σ = 321373440. Its totient is φ = 55435776.

The previous prime is 135250279. The next prime is 135250307. The reversal of 135250304 is 403052531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 135250304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135250307) 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, 17327 + ... + 23889.

It is an arithmetic number, because the mean of its divisors is an integer number (5021460).

Almost surely, 2135250304 is an apocalyptic number.

135250304 is a gapful number since it is divisible by the number (14) 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 135250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160686720).

135250304 is an abundant number, since it is smaller than the sum of its proper divisors (186123136).

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

135250304 is an equidigital number, since it uses as much as digits as its factorization.

135250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 135250304 is about 11629.7164195865. The cubic root of 135250304 is about 513.3096355320.

The spelling of 135250304 in words is "one hundred thirty-five million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 6563 10304 13126 20608 26252 45941 52504 91882 105008 150949 183764 210016 301898 367528 420032 603796 735056 840064 1056643 1207592 1470112 2113286 2415184 2940224 4226572 4830368 5880448 8453144 9660736 16906288 19321472 33812576 67625152 135250304