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5940464280 = 2335317192221
BaseRepresentation
bin1011000100001010…
…00100101010011000
3120100000000212000120
411202011010222120
544131224324110
62421244433240
7300132053562
oct54205045230
916300025016
105940464280
112579267813
121199548820
1373895222a
14404d52332
1524b7c7870
hex162144a98

5940464280 has 128 divisors (see below), whose sum is σ = 18430156800. Its totient is φ = 1530201600.

The previous prime is 5940464269. The next prime is 5940464317. The reversal of 5940464280 is 824640495.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673570 + ... + 2675790.

It is an arithmetic number, because the mean of its divisors is an integer number (143985600).

Almost surely, 25940464280 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 5940464280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215078400).

5940464280 is an abundant number, since it is smaller than the sum of its proper divisors (12489692520).

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

5940464280 is a wasteful number, since it uses less digits than its factorization.

5940464280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5940464280 is about 77074.4074255521. The cubic root of 5940464280 is about 1811.0904044984.

The spelling of 5940464280 in words is "five billion, nine hundred forty million, four hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 719 744 930 1240 1438 1860 2157 2221 2876 3595 3720 4314 4442 5752 6663 7190 8628 8884 10785 11105 13326 14380 17256 17768 21570 22210 22289 26652 28760 33315 43140 44420 44578 53304 66630 66867 68851 86280 88840 89156 111445 133260 133734 137702 178312 206553 222890 266520 267468 275404 334335 344255 413106 445780 534936 550808 668670 688510 826212 891560 1032765 1337340 1377020 1596899 1652424 2065530 2674680 2754040 3193798 4131060 4790697 6387596 7984495 8262120 9581394 12775192 15968990 19162788 23953485 31937980 38325576 47906970 49503869 63875960 95813940 99007738 148511607 191627880 198015476 247519345 297023214 396030952 495038690 594046428 742558035 990077380 1188092856 1485116070 1980154760 2970232140 5940464280