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6002103984 = 243592837489
BaseRepresentation
bin1011001011100000…
…01101011010110000
3120111022000110210120
411211300031122300
544243014311414
62431325530240
7301511020302
oct54560153260
916438013716
106002103984
112600038618
1211b6113980
13748654626
1440d1d9972
15251e012a9
hex165c0d6b0

6002103984 has 80 divisors (see below), whose sum is σ = 15826070400. Its totient is φ = 1959579648.

The previous prime is 6002103977. The next prime is 6002104007. The reversal of 6002103984 is 4893012006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797712 + ... + 805200.

It is an arithmetic number, because the mean of its divisors is an integer number (197825880).

Almost surely, 26002103984 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 6002103984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913035200).

6002103984 is an abundant number, since it is smaller than the sum of its proper divisors (9823966416).

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

6002103984 is a wasteful number, since it uses less digits than its factorization.

6002103984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6002103984 is about 77473.2468920724. The cubic root of 6002103984 is about 1817.3329676019.

The spelling of 6002103984 in words is "six billion, two million, one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 283 354 472 566 708 849 944 1132 1416 1698 2264 2832 3396 4528 6792 7489 13584 14978 16697 22467 29956 33394 44934 50091 59912 66788 89868 100182 119824 133576 179736 200364 267152 359472 400728 441851 801456 883702 1325553 1767404 2119387 2651106 3534808 4238774 5302212 6358161 7069616 8477548 10604424 12716322 16955096 21208848 25432644 33910192 50865288 101730576 125043833 250087666 375131499 500175332 750262998 1000350664 1500525996 2000701328 3001051992 6002103984