Search a number
-
+
5740097280 = 28351678951
BaseRepresentation
bin1010101100010001…
…01110111100000000
3112211001000011011120
411112020232330000
543223431103110
62345330112240
7262150010331
oct52610567400
915731004146
105740097280
112486154055
12114241b680
13706299b88
143c64b6288
15238de9870
hex15622ef00

5740097280 has 144 divisors (see below), whose sum is σ = 18444271104. Its totient is φ = 1521356800.

The previous prime is 5740097203. The next prime is 5740097309. The reversal of 5740097280 is 827900475.

It is a congruent number.

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, 636805 + ... + 645755.

It is an arithmetic number, because the mean of its divisors is an integer number (128085216).

Almost surely, 25740097280 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 5740097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222135552).

5740097280 is an abundant number, since it is smaller than the sum of its proper divisors (12704173824).

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

5740097280 is a wasteful number, since it uses less digits than its factorization.

5740097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 5740097280 is about 75763.4297006148. The cubic root of 5740097280 is about 1790.4948830890.

The spelling of 5740097280 in words is "five billion, seven hundred forty million, ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 167 192 240 256 320 334 384 480 501 640 668 768 835 960 1002 1280 1336 1670 1920 2004 2505 2672 3340 3840 4008 5010 5344 6680 8016 8951 10020 10688 13360 16032 17902 20040 21376 26720 26853 32064 35804 40080 42752 44755 53440 53706 64128 71608 80160 89510 106880 107412 128256 134265 143216 160320 179020 213760 214824 268530 286432 320640 358040 429648 537060 572864 641280 716080 859296 1074120 1145728 1432160 1494817 1718592 2148240 2291456 2864320 2989634 3437184 4296480 4484451 5728640 5979268 6874368 7474085 8592960 8968902 11457280 11958536 14948170 17185920 17937804 22422255 23917072 29896340 34371840 35875608 44844510 47834144 59792680 71751216 89689020 95668288 119585360 143502432 179378040 191336576 239170720 287004864 358756080 382673152 478341440 574009728 717512160 956682880 1148019456 1435024320 1913365760 2870048640 5740097280