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6983241930 = 2335713212797
BaseRepresentation
bin1101000000011101…
…11101000011001010
3200000200012110001000
412200032331003022
5103300202220210
63112535035430
7335023401630
oct64016750312
920020173030
106983241930
112a63949025
12142a80bb76
138739b9322
144a3637350
152ad108ac0
hex1a03bd0ca

6983241930 has 128 divisors (see below), whose sum is σ = 21305986560. Its totient is φ = 1594391040.

The previous prime is 6983241911. The next prime is 6983241943. The reversal of 6983241930 is 391423896.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2495292 + ... + 2498088.

It is an arithmetic number, because the mean of its divisors is an integer number (166453020).

Almost surely, 26983241930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6983241930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652993280).

6983241930 is an abundant number, since it is smaller than the sum of its proper divisors (14322744630).

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

6983241930 is a wasteful number, since it uses less digits than its factorization.

6983241930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6983241930 is about 83565.7940188448. The cubic root of 6983241930 is about 1911.4034375169.

The spelling of 6983241930 in words is "six billion, nine hundred eighty-three million, two hundred forty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1321 1890 2642 2797 3963 5594 6605 7926 8391 9247 11889 13210 13985 16782 18494 19579 19815 23778 25173 27741 27970 35667 39158 39630 41955 46235 50346 55482 58737 59445 71334 75519 83223 83910 92470 97895 117474 118890 125865 138705 151038 166446 176211 178335 195790 249669 251730 277410 293685 352422 356670 377595 416115 499338 528633 587370 755190 832230 881055 1057266 1248345 1762110 2496690 2643165 3694837 5286330 7389674 11084511 18474185 22169022 25863859 33253533 36948370 51727718 55422555 66507066 77591577 99760599 110845110 129319295 155183154 166267665 199521198 232774731 258638590 332535330 387957885 465549462 498802995 698324193 775915770 997605990 1163873655 1396648386 2327747310 3491620965 6983241930