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727228940 = 2252910511193
BaseRepresentation
bin101011010110001…
…010001000001100
31212200102001120012
4223112022020030
52442132311230
6200055012352
724010225664
oct5326121014
91780361505
10727228940
11343557959
1218366a0b8
13b7883ca9
146c8251a4
1543ca0395
hex2b58a20c

727228940 has 48 divisors (see below), whose sum is σ = 1582670880. Its totient is φ = 280358400.

The previous prime is 727228939. The next prime is 727228949. The reversal of 727228940 is 49822727.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (727228949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608984 + ... + 610176.

It is an arithmetic number, because the mean of its divisors is an integer number (32972310).

Almost surely, 2727228940 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 727228940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791335440).

727228940 is an abundant number, since it is smaller than the sum of its proper divisors (855441940).

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

727228940 is a wasteful number, since it uses less digits than its factorization.

727228940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 727228940 is about 26967.1826485452. The cubic root of 727228940 is about 899.2705777097.

The spelling of 727228940 in words is "seven hundred twenty-seven million, two hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1051 1193 2102 2386 4204 4772 5255 5965 10510 11930 21020 23860 30479 34597 60958 69194 121916 138388 152395 172985 304790 345970 609580 691940 1253843 2507686 5015372 6269215 12538430 25076860 36361447 72722894 145445788 181807235 363614470 727228940