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607650680 = 235713971721
BaseRepresentation
bin100100001110000…
…000001101111000
31120100101212000202
4210032000031320
52221024310210
6140144021332
721025642220
oct4416001570
91510355022
10607650680
11292003a4a
1214b601848
1398b77020
145a9b9080
153852e9a5
hex24380378

607650680 has 128 divisors (see below), whose sum is σ = 1701060480. Its totient is φ = 190218240.

The previous prime is 607650661. The next prime is 607650683. The reversal of 607650680 is 86056706.

It is a super-3 number, since 3×6076506803 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607650683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352220 + ... + 353940.

It is an arithmetic number, because the mean of its divisors is an integer number (13289535).

Almost surely, 2607650680 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 607650680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850530240).

607650680 is an abundant number, since it is smaller than the sum of its proper divisors (1093409800).

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

607650680 is a wasteful number, since it uses less digits than its factorization.

607650680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 607650680 is about 24650.5715958069. The cubic root of 607650680 is about 847.0024425792.

The spelling of 607650680 in words is "six hundred seven million, six hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 97 104 130 140 182 194 260 280 364 388 455 485 520 679 728 776 910 970 1261 1358 1721 1820 1940 2522 2716 3395 3442 3640 3880 5044 5432 6305 6790 6884 8605 8827 10088 12047 12610 13580 13768 17210 17654 22373 24094 25220 27160 34420 35308 44135 44746 48188 50440 60235 68840 70616 88270 89492 96376 111865 120470 156611 166937 176540 178984 223730 240940 313222 333874 353080 447460 481880 626444 667748 783055 834685 894920 1168559 1252888 1335496 1566110 1669370 2170181 2337118 3132220 3338740 4340362 4674236 5842795 6264440 6677480 8680724 9348472 10850905 11685590 15191267 17361448 21701810 23371180 30382534 43403620 46742360 60765068 75956335 86807240 121530136 151912670 303825340 607650680