Search a number
-
+
534754000 = 245311109223
BaseRepresentation
bin11111110111111…
…011001011010000
31101021020022120201
4133313323023100
52043344112000
6125021344544
716152222364
oct3767731320
91337208521
10534754000
11254944660
1212b108154
1386a32bb1
14510412a4
1531e3096a
hex1fdfb2d0

534754000 has 160 divisors (see below), whose sum is σ = 1429908480. Its totient is φ = 191808000.

The previous prime is 534753991. The next prime is 534754013. The reversal of 534754000 is 457435.

It is a self number, because there is not a number n which added to its sum of digits gives 534754000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2397889 + ... + 2398111.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2534754000 is an apocalyptic number.

534754000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

534754000 is an abundant number, since it is smaller than the sum of its proper divisors (895154480).

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

534754000 is a wasteful number, since it uses less digits than its factorization.

534754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 534754000 is about 23124.7486472826. The cubic root of 534754000 is about 811.6796927994.

It can be divided in two parts, 53475 and 4000, that added together give a palindrome (57475).

The spelling of 534754000 in words is "five hundred thirty-four million, seven hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 125 176 200 218 220 223 250 275 400 436 440 446 500 545 550 872 880 892 1000 1090 1100 1115 1199 1375 1744 1784 2000 2180 2200 2230 2398 2453 2725 2750 3568 4360 4400 4460 4796 4906 5450 5500 5575 5995 8720 8920 9592 9812 10900 11000 11150 11990 12265 13625 17840 19184 19624 21800 22000 22300 23980 24307 24530 27250 27875 29975 39248 43600 44600 47960 48614 49060 54500 55750 59950 61325 89200 95920 97228 98120 109000 111500 119900 121535 122650 149875 194456 196240 218000 223000 239800 243070 245300 267377 299750 306625 388912 446000 479600 486140 490600 534754 599500 607675 613250 972280 981200 1069508 1199000 1215350 1226500 1336885 1944560 2139016 2398000 2430700 2453000 2673770 3038375 4278032 4861400 4906000 5347540 6076750 6684425 9722800 10695080 12153500 13368850 21390160 24307000 26737700 33422125 48614000 53475400 66844250 106950800 133688500 267377000 534754000