Search a number
-
+
726740 = 225729179
BaseRepresentation
bin10110001011011010100
31100220220022
42301123110
5141223430
623324312
76114530
oct2613324
91326808
10726740
11457013
122b0698
131c5a31
1414cbc0
15e54e5
hexb16d4

726740 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 239232.

The previous prime is 726707. The next prime is 726751. The reversal of 726740 is 47627.

726740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×7267403 = 1151485433394072000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3971 + ... + 4149.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2726740 is an apocalyptic number.

726740 is a gapful number since it is divisible by the number (70) 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 726740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

726740 is an abundant number, since it is smaller than the sum of its proper divisors (1087660).

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

726740 is a wasteful number, since it uses less digits than its factorization.

726740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 726740 is about 852.4904691549. The cubic root of 726740 is about 89.9068996104.

The spelling of 726740 in words is "seven hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 179 203 290 358 406 580 716 812 895 1015 1253 1790 2030 2506 3580 4060 5012 5191 6265 10382 12530 20764 25060 25955 36337 51910 72674 103820 145348 181685 363370 726740