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670099680 = 25325479901
BaseRepresentation
bin100111111100001…
…110100011100000
31201200220120221200
4213330032203200
52333021142210
6150254321200
722414516245
oct4774164340
91650816850
10670099680
11314287898
121684b9200
13a8aa08b3
1464dd35cc
153dc680c0
hex27f0e8e0

670099680 has 144 divisors (see below), whose sum is σ = 2335604544. Its totient is φ = 174873600.

The previous prime is 670099669. The next prime is 670099709. The reversal of 670099680 is 86990076.

670099680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6700996802 = 898067162272204800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62730 + ... + 72630.

It is an arithmetic number, because the mean of its divisors is an integer number (16219476).

Almost surely, 2670099680 is an apocalyptic number.

670099680 is a gapful number since it is divisible by the number (60) 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 670099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167802272).

670099680 is an abundant number, since it is smaller than the sum of its proper divisors (1665504864).

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

670099680 is a wasteful number, since it uses less digits than its factorization.

670099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 670099680 is about 25886.2836266622. The cubic root of 670099680 is about 875.0774048530.

It can be divided in two parts, 6700996 and 80, that added together give a palindrome (6701076).

The spelling of 670099680 in words is "six hundred seventy million, ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 9901 11280 13536 16920 19802 22560 29703 33840 39604 49505 59406 67680 79208 89109 99010 118812 148515 158416 178218 198020 237624 297030 316832 356436 396040 445545 465347 475248 594060 712872 792080 891090 930694 950496 1188120 1396041 1425744 1584160 1782180 1861388 2326735 2376240 2792082 2851488 3564360 3722776 4188123 4653470 4752480 5584164 6980205 7128720 7445552 8376246 9306940 11168328 13960410 14257440 14891104 16752492 18613880 20940615 22336656 27920820 33504984 37227760 41881230 44673312 55841640 67009968 74455520 83762460 111683280 134019936 167524920 223366560 335049840 670099680