Search a number
-
+
271155200 = 21552331
BaseRepresentation
bin10000001010011…
…000000000000000
3200220020010000012
4100022120000000
51023403431300
642523444052
76501531641
oct2012300000
9626203005
10271155200
1112a072a08
1276986628
134423b884
14280256c8
1518c12435
hex10298000

271155200 has 96 divisors (see below), whose sum is σ = 674486220. Its totient is φ = 108134400.

The previous prime is 271155193. The next prime is 271155217. The reversal of 271155200 is 2551172.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819035 + ... + 819365.

Almost surely, 2271155200 is an apocalyptic number.

271155200 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 271155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337243110).

271155200 is an abundant number, since it is smaller than the sum of its proper divisors (403331020).

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

271155200 is an frugal number, since it uses more digits than its factorization.

271155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 271155200 is about 16466.7908227438. The cubic root of 271155200 is about 647.2508743813.

The spelling of 271155200 in words is "two hundred seventy-one million, one hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 331 400 512 640 662 800 1024 1280 1324 1600 1655 2048 2560 2648 3200 3310 4096 5120 5296 6400 6620 8192 8275 10240 10592 12800 13240 16384 16550 20480 21184 25600 26480 32768 33100 40960 42368 51200 52960 66200 81920 84736 102400 105920 132400 163840 169472 204800 211840 264800 338944 409600 423680 529600 677888 819200 847360 1059200 1355776 1694720 2118400 2711552 3389440 4236800 5423104 6778880 8473600 10846208 13557760 16947200 27115520 33894400 54231040 67788800 135577600 271155200