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720980 = 225134759
BaseRepresentation
bin10110000000001010100
31100121222222
42300001110
5141032410
623241512
76061661
oct2600124
91317888
10720980
11452757
122a9298
131c3220
1414aa68
15e3955
hexb0054

720980 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 256128.

The previous prime is 720971. The next prime is 720983. The reversal of 720980 is 89027.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720983) by changing a digit.

720980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12191 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2720980 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 720980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

720980 is an abundant number, since it is smaller than the sum of its proper divisors (972460).

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

720980 is a wasteful number, since it uses less digits than its factorization.

720980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 720980 is about 849.1054115951. The cubic root of 720980 is about 89.6687410940.

720980 divided by its sum of digits (26) gives a triangular number (27730 = T235).

It can be divided in two parts, 720 and 980, that multiplied together give a square (705600 = 8402).

The spelling of 720980 in words is "seven hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 59 65 94 118 130 188 235 236 260 295 470 590 611 767 940 1180 1222 1534 2444 2773 3055 3068 3835 5546 6110 7670 11092 12220 13865 15340 27730 36049 55460 72098 144196 180245 360490 720980