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6930787920 = 2435719920731
BaseRepresentation
bin1100111010001101…
…10110111001010000
3122220000111111122220
412131012312321100
5103143240203140
63103422501040
7333515503530
oct63506667120
918800444586
106930787920
112a37281601
121415134780
13865b81c54
1449a6a14c0
152a86e6bd0
hex19d1b6e50

6930787920 has 160 divisors (see below), whose sum is σ = 24679372800. Its totient is φ = 1576143360.

The previous prime is 6930787907. The next prime is 6930787937. The reversal of 6930787920 is 297870396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323955 + ... + 344685.

It is an arithmetic number, because the mean of its divisors is an integer number (154246080).

Almost surely, 26930787920 is an apocalyptic number.

6930787920 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 6930787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339686400).

6930787920 is an abundant number, since it is smaller than the sum of its proper divisors (17748584880).

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

6930787920 is a wasteful number, since it uses less digits than its factorization.

6930787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20953 (or 20947 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 6930787920 is about 83251.3538628652. The cubic root of 6930787920 is about 1906.6056247811.

The spelling of 6930787920 in words is "six billion, nine hundred thirty million, seven hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 199 210 240 280 336 398 420 560 597 796 840 995 1194 1393 1592 1680 1990 2388 2786 2985 3184 3980 4179 4776 5572 5970 6965 7960 8358 9552 11144 11940 13930 15920 16716 20731 20895 22288 23880 27860 33432 41462 41790 47760 55720 62193 66864 82924 83580 103655 111440 124386 145117 165848 167160 207310 248772 290234 310965 331696 334320 414620 435351 497544 580468 621930 725585 829240 870702 995088 1160936 1243860 1451170 1658480 1741404 2176755 2321872 2487720 2902340 3482808 4125469 4353510 4975440 5804680 6965616 8250938 8707020 11609360 12376407 16501876 17414040 20627345 24752814 28878283 33003752 34828080 41254690 49505628 57756566 61882035 66007504 82509380 86634849 99011256 115513132 123764070 144391415 165018760 173269698 198022512 231026264 247528140 288782830 330037520 346539396 433174245 462052528 495056280 577565660 693078792 866348490 990112560 1155131320 1386157584 1732696980 2310262640 3465393960 6930787920