Search a number
-
+
270924768 = 253243131167
BaseRepresentation
bin10000001001011…
…111101111100000
3200212210101220200
4100021133233200
51023324043033
642514505200
76466552062
oct2011375740
9625711820
10270924768
11129a25874
1276895200
134418aa1a
1427da5732
1518bb9013
hex1025fbe0

270924768 has 144 divisors (see below), whose sum is σ = 799134336. Its totient is φ = 87010560.

The previous prime is 270924721. The next prime is 270924803. The reversal of 270924768 is 867429072.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622221 + ... + 1622387.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2270924768 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 270924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

270924768 is an abundant number, since it is smaller than the sum of its proper divisors (528209568).

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

270924768 is a wasteful number, since it uses less digits than its factorization.

270924768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 270924768 is about 16459.7924652773. The cubic root of 270924768 is about 647.0674743916.

The spelling of 270924768 in words is "two hundred seventy million, nine hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 131 144 167 172 258 262 288 334 344 387 393 501 516 524 668 688 774 786 1002 1032 1048 1179 1336 1376 1503 1548 1572 2004 2064 2096 2358 2672 3006 3096 3144 4008 4128 4192 4716 5344 5633 6012 6192 6288 7181 8016 9432 11266 12024 12384 12576 14362 16032 16899 18864 21543 21877 22532 24048 28724 33798 37728 43086 43754 45064 48096 50697 57448 64629 65631 67596 86172 87508 90128 101394 114896 129258 131262 135192 172344 175016 180256 196893 202788 229792 258516 262524 270384 344688 350032 393786 405576 517032 525048 540768 689376 700064 787572 811152 940711 1034064 1050096 1575144 1622304 1881422 2068128 2100192 2822133 3150288 3762844 5644266 6300576 7525688 8466399 11288532 15051376 16932798 22577064 30102752 33865596 45154128 67731192 90308256 135462384 270924768