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68253024 = 2537472161
BaseRepresentation
bin1000001000101…
…11010101100000
311202102121112210
410010113111200
5114433044044
610434522120
71456066260
oct404272540
9152377483
1068253024
1135588564
121aa36340
13111a9608
1490c97a0
155ed31b9
hex4117560

68253024 has 96 divisors (see below), whose sum is σ = 209212416. Its totient is φ = 19077120.

The previous prime is 68253023. The next prime is 68253043. The reversal of 68253024 is 42035286.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 68252982 and 68253000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68253023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30504 + ... + 32664.

It is an arithmetic number, because the mean of its divisors is an integer number (2179296).

Almost surely, 268253024 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 68253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606208).

68253024 is an abundant number, since it is smaller than the sum of its proper divisors (140959392).

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

68253024 is a wasteful number, since it uses less digits than its factorization.

68253024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 68253024 is about 8261.5388397078. The cubic root of 68253024 is about 408.6711368582.

The spelling of 68253024 in words is "sixty-eight million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2161 2256 2632 3948 4322 4512 5264 6483 7896 8644 10528 12966 15127 15792 17288 25932 30254 31584 34576 45381 51864 60508 69152 90762 101567 103728 121016 181524 203134 207456 242032 304701 363048 406268 484064 609402 710969 726096 812536 1218804 1421938 1452192 1625072 2132907 2437608 2843876 3250144 4265814 4875216 5687752 8531628 9750432 11375504 17063256 22751008 34126512 68253024