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5734584960 = 273513229751
BaseRepresentation
bin1010101011100111…
…01101001010000000
3112210122122002200120
411111303231022000
543221023204320
62345012020240
7262052111406
oct52563551200
915718562616
105734584960
112483029615
121140601680
137050b9b50
143c587d476
152386ab440
hex155ced280

5734584960 has 128 divisors (see below), whose sum is σ = 19685151360. Its totient is φ = 1411584000.

The previous prime is 5734584953. The next prime is 5734584967. The reversal of 5734584960 is 694854375.

It is an interprime number because it is at equal distance from previous prime (5734584953) and next prime (5734584967).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5734584967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89916 + ... + 139835.

It is an arithmetic number, because the mean of its divisors is an integer number (153790245).

Almost surely, 25734584960 is an apocalyptic number.

It is an amenable number.

5734584960 is an abundant number, since it is smaller than the sum of its proper divisors (13950566400).

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

5734584960 is a wasteful number, since it uses less digits than its factorization.

5734584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229786 (or 229774 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 5734584960 is about 75727.0424617257. The cubic root of 5734584960 is about 1789.9215512367.

The spelling of 5734584960 in words is "five billion, seven hundred thirty-four million, five hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 229751 459502 689253 919004 1148755 1378506 1838008 2297510 2757012 2986763 3446265 3676016 4595020 5514024 5973526 6892530 7352032 8960289 9190040 11028048 11947052 13785060 14704064 14933815 17920578 18380080 22056096 23894104 27570120 29408128 29867630 35841156 36760160 44112192 44801445 47788208 55140240 59735260 71682312 73520320 88224384 89602890 95576416 110280480 119470520 143364624 147040640 179205780 191152832 220560960 238941040 286729248 358411560 382305664 441121920 477882080 573458496 716823120 955764160 1146916992 1433646240 1911528320 2867292480 5734584960