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68024740 = 22572411693
BaseRepresentation
bin1000000110111…
…11100110100100
311202000000101211
410003133212210
5114403242430
610430001204
71454125600
oct403374644
9152000354
1068024740
1135441aa3
121a946204
1311129734
14906a500
155e8a72a
hex40df9a4

68024740 has 72 divisors (see below), whose sum is σ = 170328312. Its totient is φ = 22740480.

The previous prime is 68024729. The next prime is 68024741. The reversal of 68024740 is 4742086.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 67996516 = 168^2 + 8246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68024741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39334 + ... + 41026.

It is an arithmetic number, because the mean of its divisors is an integer number (2365671).

Almost surely, 268024740 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 68024740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85164156).

68024740 is an abundant number, since it is smaller than the sum of its proper divisors (102303572).

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

68024740 is a wasteful number, since it uses less digits than its factorization.

68024740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 68024740 is about 8247.7111976596. The cubic root of 68024740 is about 408.2150042620.

The spelling of 68024740 in words is "sixty-eight million, twenty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 1693 2009 2870 3386 4018 5740 6772 8036 8465 10045 11851 16930 20090 23702 33860 40180 47404 59255 69413 82957 118510 138826 165914 237020 277652 331828 347065 414785 485891 694130 829570 971782 1388260 1659140 1943564 2429455 3401237 4858910 6802474 9717820 13604948 17006185 34012370 68024740