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728623140 = 223572475273
BaseRepresentation
bin101011011011011…
…110100000100100
31212210000220001020
4223123132200210
52443011420030
6200144531140
724025123500
oct5333364044
91783026036
10728623140
1134431a393
12184020ab0
13b7c5176b
146caa9300
1543e78510
hex2b6de824

728623140 has 144 divisors (see below), whose sum is σ = 2424183552. Its totient is φ = 162968064.

The previous prime is 728623139. The next prime is 728623151. The reversal of 728623140 is 41326827.

728623140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135544 + ... + 140816.

It is an arithmetic number, because the mean of its divisors is an integer number (16834608).

Almost surely, 2728623140 is an apocalyptic number.

728623140 is a gapful number since it is divisible by the number (70) 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 728623140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212091776).

728623140 is an abundant number, since it is smaller than the sum of its proper divisors (1695560412).

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

728623140 is a wasteful number, since it uses less digits than its factorization.

728623140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 728623140 is about 26993.0202089355. The cubic root of 728623140 is about 899.8448868483.

Adding to 728623140 its reverse (41326827), we get a palindrome (769949967).

The spelling of 728623140 in words is "seven hundred twenty-eight million, six hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1316 1410 1470 1645 1974 2303 2820 2940 3290 3948 4606 4935 5273 6580 6909 9212 9870 10546 11515 13818 15819 19740 21092 23030 26365 27636 31638 34545 36911 46060 52730 63276 69090 73822 79095 105460 110733 138180 147644 158190 184555 221466 247831 258377 316380 369110 442932 495662 516754 553665 738220 743493 775131 991324 1033508 1107330 1239155 1291885 1486986 1550262 1734817 2214660 2478310 2583770 2973972 3100524 3469634 3717465 3875655 4956620 5167540 5204451 6939268 7434930 7751310 8674085 10408902 12143719 14869860 15502620 17348170 20817804 24287438 26022255 34696340 36431157 48574876 52044510 60718595 72862314 104089020 121437190 145724628 182155785 242874380 364311570 728623140