Search a number
-
+
154200320 = 285532273
BaseRepresentation
bin10010011000011…
…10100100000000
3101202011012001222
421030032210000
5303433402240
623145014212
73551452421
oct1114164400
9352135058
10154200320
117a050a8a
1243784368
1325c3c9c1
141669d648
15d80deb5
hex930e900

154200320 has 72 divisors (see below), whose sum is σ = 376492536. Its totient is φ = 60489728.

The previous prime is 154200317. The next prime is 154200323. The reversal of 154200320 is 23002451.

154200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154200317) and next prime (154200323).

It can be written as a sum of positive squares in 4 ways, for example, as 58003456 + 96196864 = 7616^2 + 9808^2 .

It is not an unprimeable number, because it can be changed into a prime (154200323) 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, 66704 + ... + 68976.

It is an arithmetic number, because the mean of its divisors is an integer number (5229063).

Almost surely, 2154200320 is an apocalyptic number.

154200320 is a gapful number since it is divisible by the number (10) 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 154200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188246268).

154200320 is an abundant number, since it is smaller than the sum of its proper divisors (222292216).

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

154200320 is an equidigital number, since it uses as much as digits as its factorization.

154200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 154200320 is about 12417.7421458170. The cubic root of 154200320 is about 536.2431509857.

Adding to 154200320 its reverse (23002451), we get a palindrome (177202771).

The spelling of 154200320 in words is "one hundred fifty-four million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 2273 3392 4240 4546 6784 8480 9092 11365 13568 16960 18184 22730 33920 36368 45460 67840 72736 90920 120469 145472 181840 240938 290944 363680 481876 581888 602345 727360 963752 1204690 1454720 1927504 2409380 2909440 3855008 4818760 7710016 9637520 15420032 19275040 30840064 38550080 77100160 154200320