Search a number
-
+
272098320 = 24351387211
BaseRepresentation
bin10000001101111…
…110010000010000
3200222000000201120
4100031332100100
51024124121240
643000002240
76512540364
oct2015762020
9628000646
10272098320
1112a65754a
1277160380
13444abc30
14281cd2a4
1518d4bad0
hex1037e410

272098320 has 80 divisors (see below), whose sum is σ = 908400192. Its totient is φ = 66977280.

The previous prime is 272098313. The next prime is 272098327. The reversal of 272098320 is 23890272.

It is an interprime number because it is at equal distance from previous prime (272098313) and next prime (272098327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (272098327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40486 + ... + 46725.

Almost surely, 2272098320 is an apocalyptic number.

272098320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272098320 is an abundant number, since it is smaller than the sum of its proper divisors (636301872).

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

272098320 is a wasteful number, since it uses less digits than its factorization.

272098320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87240 (or 87234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 272098320 is about 16495.4029959865. The cubic root of 272098320 is about 648.0004191432. Note that the first 3 decimals are identical.

The spelling of 272098320 in words is "two hundred seventy-two million, ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 87211 174422 261633 348844 436055 523266 697688 872110 1046532 1133743 1308165 1395376 1744220 2093064 2267486 2616330 3401229 3488440 4186128 4534972 5232660 5668715 6802458 6976880 9069944 10465320 11337430 13604916 17006145 18139888 20930640 22674860 27209832 34012290 45349720 54419664 68024580 90699440 136049160 272098320