Search a number
-
+
56734200 = 23325243733
BaseRepresentation
bin1101100001101…
…1000111111000
310221202101200200
43120123013320
5104010443300
65344002200
71256142555
oct330330770
9127671620
1056734200
112a030276
1217000360
13b9a5643
14776ba2c
154eaa200
hex361b1f8

56734200 has 144 divisors (see below), whose sum is σ = 195229320. Its totient is φ = 14757120.

The previous prime is 56734199. The next prime is 56734211. The reversal of 56734200 is 243765.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77034 + ... + 77766.

Almost surely, 256734200 is an apocalyptic number.

56734200 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 56734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97614660).

56734200 is an abundant number, since it is smaller than the sum of its proper divisors (138495120).

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

56734200 is a wasteful number, since it uses less digits than its factorization.

56734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56734200 is about 7532.2108308252. The cubic root of 56734200 is about 384.2509752544.

Adding to 56734200 its reverse (243765), we get a palindrome (56977965).

The spelling of 56734200 in words is "fifty-six million, seven hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 733 774 860 900 1032 1075 1290 1466 1548 1720 1800 1935 2150 2199 2580 2932 3096 3225 3665 3870 4300 4398 5160 5864 6450 6597 7330 7740 8600 8796 9675 10995 12900 13194 14660 15480 17592 18325 19350 21990 25800 26388 29320 31519 32985 36650 38700 43980 52776 54975 63038 65970 73300 77400 87960 94557 109950 126076 131940 146600 157595 164925 189114 219900 252152 263880 283671 315190 329850 378228 439800 472785 567342 630380 659700 756456 787975 945570 1134684 1260760 1319400 1418355 1575950 1891140 2269368 2363925 2836710 3151900 3782280 4727850 5673420 6303800 7091775 9455700 11346840 14183550 18911400 28367100 56734200