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999983920 = 245134359379
BaseRepresentation
bin111011100110101…
…000101100110000
32120200122110001111
4323212220230300
54021443441140
6243121043104
733531503005
oct7346505460
92520573044
10999983920
114735127a1
1223aa86494
1312c232a80
1496b458ac
155cbcb7ea
hex3b9a8b30

999983920 has 160 divisors (see below), whose sum is σ = 2612332800. Its totient is φ = 353590272.

The previous prime is 999983893. The next prime is 999983921. The reversal of 999983920 is 29389999.

999983920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (999983921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2638291 + ... + 2638669.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2999983920 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 999983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306166400).

999983920 is an abundant number, since it is smaller than the sum of its proper divisors (1612348880).

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

999983920 is a wasteful number, since it uses less digits than its factorization.

999983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 58.

The square root of 999983920 is about 31622.5223535378. The cubic root of 999983920 is about 999.9946399713.

The spelling of 999983920 in words is "nine hundred ninety-nine million, nine hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 59 65 80 86 104 118 130 172 208 215 236 260 295 344 379 430 472 520 559 590 688 758 767 860 944 1040 1118 1180 1516 1534 1720 1895 2236 2360 2537 2795 3032 3068 3440 3790 3835 4472 4720 4927 5074 5590 6064 6136 7580 7670 8944 9854 10148 11180 12272 12685 15160 15340 16297 19708 20296 22360 22361 24635 25370 30320 30680 32594 32981 39416 40592 44720 44722 49270 50740 61360 65188 65962 78832 81485 89444 98540 101480 111805 130376 131924 162970 164905 178888 197080 202960 211861 223610 260752 263848 290693 325940 329810 357776 394160 423722 447220 527696 581386 651880 659620 847444 894440 961523 1059305 1162772 1303760 1319240 1453465 1694888 1788880 1923046 2118610 2325544 2638480 2906930 3389776 3846092 4237220 4651088 4807615 5813860 7692184 8474440 9615230 11627720 12499799 15384368 16948880 19230460 23255440 24999598 38460920 49999196 62498995 76921840 99998392 124997990 199996784 249995980 499991960 999983920