Search a number
-
+
152870272 = 271577607
BaseRepresentation
bin10010001110010…
…01110110000000
3101122122121120221
421013021312000
5303113322042
623100312424
73534242632
oct1107116600
9348577527
10152870272
1179322775
1243242714
13258954a9
1416434a52
15d649d67
hex91c9d80

152870272 has 32 divisors (see below), whose sum is σ = 306526320. Its totient is φ = 75938304.

The previous prime is 152870197. The next prime is 152870299. The reversal of 152870272 is 272078251.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1528702722 = 46738640122707968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16293 + ... + 23899.

Almost surely, 2152870272 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 152870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153263160).

152870272 is an abundant number, since it is smaller than the sum of its proper divisors (153656048).

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

152870272 is an equidigital number, since it uses as much as digits as its factorization.

152870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 152870272 is about 12364.0718212084. The cubic root of 152870272 is about 534.6969162873.

The spelling of 152870272 in words is "one hundred fifty-two million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 7607 10048 15214 20096 30428 60856 121712 243424 486848 973696 1194299 2388598 4777196 9554392 19108784 38217568 76435136 152870272