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680455000 = 2354236197
BaseRepresentation
bin101000100011101…
…110101101011000
31202102101200210001
4220203232231120
52343144030000
6151304302344
722601525551
oct5043565530
91672350701
10680455000
1131a10aa05
1216ba719b4
13aac880c4
146652b328
153eb1146a
hex288eeb58

680455000 has 160 divisors (see below), whose sum is σ = 1708328160. Its totient is φ = 253440000.

The previous prime is 680454967. The next prime is 680455019. The reversal of 680455000 is 554086.

680455000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 680455000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7014952 + ... + 7015048.

It is an arithmetic number, because the mean of its divisors is an integer number (10677051).

Almost surely, 2680455000 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 680455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854164080).

680455000 is an abundant number, since it is smaller than the sum of its proper divisors (1027873160).

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

680455000 is a wasteful number, since it uses less digits than its factorization.

680455000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 680455000 is about 26085.5323886633. The cubic root of 680455000 is about 879.5620237908.

The spelling of 680455000 in words is "six hundred eighty million, four hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 61 92 97 100 115 122 125 184 194 200 230 244 250 305 388 460 485 488 500 575 610 625 776 920 970 1000 1150 1220 1250 1403 1525 1940 2231 2300 2425 2440 2500 2806 2875 3050 3880 4462 4600 4850 5000 5612 5750 5917 6100 7015 7625 8924 9700 11155 11224 11500 11834 12125 12200 14030 14375 15250 17848 19400 22310 23000 23668 24250 28060 28750 29585 30500 35075 38125 44620 47336 48500 55775 56120 57500 59170 60625 61000 70150 76250 89240 97000 111550 115000 118340 121250 136091 140300 147925 152500 175375 223100 236680 242500 272182 278875 280600 295850 305000 350750 446200 485000 544364 557750 591700 680455 701500 739625 876875 1088728 1115500 1183400 1360910 1394375 1403000 1479250 1753750 2231000 2721820 2788750 2958500 3402275 3507500 3698125 5443640 5577500 5917000 6804550 7015000 7396250 11155000 13609100 14792500 17011375 27218200 29585000 34022750 68045500 85056875 136091000 170113750 340227500 680455000