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726605420 = 2252315710061
BaseRepresentation
bin101011010011110…
…001111001101100
31212122020101020212
4223103301321230
52442002333140
6200033401552
724002021102
oct5323617154
91778211225
10726605420
11343171452
121834092b8
13b76c6248
146c701c72
1543bca765
hex2b4f1e6c

726605420 has 48 divisors (see below), whose sum is σ = 1602514368. Its totient is φ = 276207360.

The previous prime is 726605417. The next prime is 726605431. The reversal of 726605420 is 24506627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67190 + ... + 77250.

It is an arithmetic number, because the mean of its divisors is an integer number (33385716).

Almost surely, 2726605420 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 726605420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801257184).

726605420 is an abundant number, since it is smaller than the sum of its proper divisors (875908948).

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

726605420 is a wasteful number, since it uses less digits than its factorization.

726605420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 726605420 is about 26955.6194512387. The cubic root of 726605420 is about 899.0134952026.

The spelling of 726605420 in words is "seven hundred twenty-six million, six hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 460 628 785 1570 3140 3611 7222 10061 14444 18055 20122 36110 40244 50305 72220 100610 201220 231403 462806 925612 1157015 1579577 2314030 3159154 4628060 6318308 7897885 15795770 31591540 36330271 72660542 145321084 181651355 363302710 726605420