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5979114240 = 283511141551
BaseRepresentation
bin1011001000110001…
…00000101100000000
3120102200202110210120
411210120200230000
544221123123430
62425145100240
7301111426641
oct54430405400
916380673716
105979114240
112599066030
1211aa487680
13743965428
1440a1336c8
1524edae610
hex164620b00

5979114240 has 144 divisors (see below), whose sum is σ = 20831924736. Its totient is φ = 1449472000.

The previous prime is 5979114227. The next prime is 5979114359. The reversal of 5979114240 is 424119795.

It is a junction number, because it is equal to n+sod(n) for n = 5979114192 and 5979114201.

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, 28536 + ... + 113015.

It is an arithmetic number, because the mean of its divisors is an integer number (144666144).

Almost surely, 25979114240 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 5979114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415962368).

5979114240 is an abundant number, since it is smaller than the sum of its proper divisors (14852810496).

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

5979114240 is a wasteful number, since it uses less digits than its factorization.

5979114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141586 (or 141572 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5979114240 is about 77324.7323952692. The cubic root of 5979114240 is about 1815.0097002570.

The spelling of 5979114240 in words is "five billion, nine hundred seventy-nine million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 141551 283102 424653 566204 707755 849306 1132408 1415510 1557061 1698612 2123265 2264816 2831020 3114122 3397224 4246530 4529632 4671183 5662040 6228244 6794448 7785305 8493060 9059264 9342366 11324080 12456488 13588896 15570610 16986120 18118528 18684732 22648160 23355915 24912976 27177792 31141220 33972240 36237056 37369464 45296320 46711830 49825952 54355584 62282440 67944480 74738928 90592640 93423660 99651904 108711168 124564880 135888960 149477856 181185280 186847320 199303808 249129760 271777920 298955712 373694640 398607616 498259520 543555840 597911424 747389280 996519040 1195822848 1494778560 1993038080 2989557120 5979114240