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7320385980 = 22325177332771
BaseRepresentation
bin1101101000101010…
…00011100110111100
3200220011121010201200
412310111003212330
5104443004322410
63210221135500
7346256153115
oct66425034674
920804533650
107320385980
113117192376
1215036ba590
138c87c0a4b
144d631920c
152cca033c0
hex1b45439bc

7320385980 has 144 divisors (see below), whose sum is σ = 23834157984. Its totient is φ = 1812049920.

The previous prime is 7320385939. The next prime is 7320385993. The reversal of 7320385980 is 895830237.

7320385980 is a `hidden beast` number, since 7 + 3 + 20 + 38 + 598 + 0 = 666.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206995 + ... + 239765.

It is an arithmetic number, because the mean of its divisors is an integer number (165514986).

Almost surely, 27320385980 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 7320385980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917078992).

7320385980 is an abundant number, since it is smaller than the sum of its proper divisors (16513772004).

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

7320385980 is a wasteful number, since it uses less digits than its factorization.

7320385980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32876 (or 32871 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7320385980 is about 85559.2542043232. The cubic root of 7320385980 is about 1941.6815034775.

The spelling of 7320385980 in words is "seven billion, three hundred twenty million, three hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 73 85 90 102 146 153 170 180 204 219 255 292 306 340 365 438 510 612 657 730 765 876 1020 1095 1241 1314 1460 1530 2190 2482 2628 3060 3285 3723 4380 4964 6205 6570 7446 11169 12410 13140 14892 18615 22338 24820 32771 37230 44676 55845 65542 74460 98313 111690 131084 163855 196626 223380 294939 327710 393252 491565 557107 589878 655420 983130 1114214 1179756 1474695 1671321 1966260 2228428 2392283 2785535 2949390 3342642 4784566 5013963 5571070 5898780 6685284 7176849 8356605 9569132 10027926 11142140 11961415 14353698 16713210 20055852 21530547 23922830 25069815 28707396 33426420 35884245 40668811 43061094 47845660 50139630 71768490 81337622 86122188 100279260 107652735 122006433 143536980 162675244 203344055 215305470 244012866 366019299 406688110 430610940 488025732 610032165 732038598 813376220 1220064330 1464077196 1830096495 2440128660 3660192990 7320385980