Search a number
-
+
272508330 = 23537383641
BaseRepresentation
bin10000001111100…
…010010110101010
3200222202212011010
4100033202112222
51024230231310
643012444350
76516165633
oct2017422652
9628685133
10272508330
1112a9075a6
12773196b6
13445c3743
142829888a
1518dcd320
hex103e25aa

272508330 has 64 divisors (see below), whose sum is σ = 674500608. Its totient is φ = 70410240.

The previous prime is 272508319. The next prime is 272508337. The reversal of 272508330 is 33805272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (272508337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424810 + ... + 425450.

It is an arithmetic number, because the mean of its divisors is an integer number (10539072).

Almost surely, 2272508330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272508330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337250304).

272508330 is an abundant number, since it is smaller than the sum of its proper divisors (401992278).

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

272508330 is a wasteful number, since it uses less digits than its factorization.

272508330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 272508330 is about 16507.8263257159. The cubic root of 272508330 is about 648.3257345340.

The spelling of 272508330 in words is "two hundred seventy-two million, five hundred eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 383 555 641 766 1110 1149 1282 1915 1923 2298 3205 3830 3846 5745 6410 9615 11490 14171 19230 23717 28342 42513 47434 70855 71151 85026 118585 141710 142302 212565 237170 245503 355755 425130 491006 711510 736509 1227515 1473018 2455030 3682545 7365090 9083611 18167222 27250833 45418055 54501666 90836110 136254165 272508330