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726247980 = 2232539710163
BaseRepresentation
bin101011010010011…
…010101000101100
31212121120012221100
4223102122220230
52441404413410
6200022003100
723666002023
oct5322325054
91777505840
10726247980
11342a47947
12183276490
13b75cc643
146c64b8ba
1543b598c0
hex2b49aa2c

726247980 has 72 divisors (see below), whose sum is σ = 2208718512. Its totient is φ = 193159296.

The previous prime is 726247861. The next prime is 726247981. The reversal of 726247980 is 89742627.

It is a super-2 number, since 2×7262479802 = 1054872256908160800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (726247981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66379 + ... + 76541.

It is an arithmetic number, because the mean of its divisors is an integer number (30676646).

Almost surely, 2726247980 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 726247980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104359256).

726247980 is an abundant number, since it is smaller than the sum of its proper divisors (1482470532).

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

726247980 is a wasteful number, since it uses less digits than its factorization.

726247980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10575 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 726247980 is about 26948.9884782342. The cubic root of 726247980 is about 898.8660533760.

The spelling of 726247980 in words is "seven hundred twenty-six million, two hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 10163 11910 14292 17865 20326 23820 30489 35730 40652 50815 60978 71460 91467 101630 121956 152445 182934 203260 304890 365868 457335 609780 914670 1829340 4034711 8069422 12104133 16138844 20173555 24208266 36312399 40347110 48416532 60520665 72624798 80694220 121041330 145249596 181561995 242082660 363123990 726247980