Search a number
-
+
272166640 = 24519179057
BaseRepresentation
bin10000001110001…
…110111011110000
3200222010111102221
4100032032323300
51024133313030
643001250424
76513243514
oct2016167360
9628114387
10272166640
1112a6a3909
1277193a14
1344504065
142820a144
1518d61e7a
hex1038eef0

272166640 has 40 divisors (see below), whose sum is σ = 666095760. Its totient is φ = 103136256.

The previous prime is 272166637. The next prime is 272166641. The reversal of 272166640 is 46661272.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 272166596 and 272166605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272166641) 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, 88009 + ... + 91048.

It is an arithmetic number, because the mean of its divisors is an integer number (16652394).

Almost surely, 2272166640 is an apocalyptic number.

272166640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272166640 is an abundant number, since it is smaller than the sum of its proper divisors (393929120).

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

272166640 is a wasteful number, since it uses less digits than its factorization.

272166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179089 (or 179083 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 272166640 is about 16497.4737460012. The cubic root of 272166640 is about 648.0546491532.

It can be divided in two parts, 27216 and 6640, that added together give a square (33856 = 1842).

The spelling of 272166640 in words is "two hundred seventy-two million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 179057 358114 716228 895285 1432456 1790570 2864912 3402083 3581140 6804166 7162280 13608332 14324560 17010415 27216664 34020830 54433328 68041660 136083320 272166640