Search a number
-
+
68416720 = 24519223103
BaseRepresentation
bin1000001001111…
…11010011010000
311202201221002121
410010333103100
5120003313340
610442224024
71460350441
oct404772320
9152657077
1068416720
113568a549
121aab5014
1311235c88
14912d2c8
15601694a
hex413f4d0

68416720 has 120 divisors (see below), whose sum is σ = 176881536. Its totient is φ = 24558336.

The previous prime is 68416717. The next prime is 68416753. The reversal of 68416720 is 2761486.

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, 664189 + ... + 664291.

Almost surely, 268416720 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 68416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88440768).

68416720 is an abundant number, since it is smaller than the sum of its proper divisors (108464816).

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

68416720 is a wasteful number, since it uses less digits than its factorization.

68416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 68416720 is about 8271.4400197305. The cubic root of 68416720 is about 408.9975908658.

The spelling of 68416720 in words is "sixty-eight million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 103 115 152 184 190 206 230 304 361 368 380 412 437 460 515 722 760 824 874 920 1030 1444 1520 1648 1748 1805 1840 1957 2060 2185 2369 2888 3496 3610 3914 4120 4370 4738 5776 6992 7220 7828 8240 8303 8740 9476 9785 11845 14440 15656 16606 17480 18952 19570 23690 28880 31312 33212 34960 37183 37904 39140 41515 45011 47380 66424 74366 78280 83030 90022 94760 132848 148732 156560 166060 180044 185915 189520 225055 297464 332120 360088 371830 450110 594928 664240 720176 743660 855209 900220 1487320 1710418 1800440 2974640 3420836 3600880 4276045 6841672 8552090 13683344 17104180 34208360 68416720