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68628040 = 23513271487
BaseRepresentation
bin1000001011100…
…10111001001000
311210010122222021
410011302321020
5120032044130
610450534224
71462220515
oct405627110
9153118867
1068628040
1135814298
121ab97374
13112ab210
14918630c
15605937a
hex4172e48

68628040 has 64 divisors (see below), whose sum is σ = 167247360. Its totient is φ = 25194240.

The previous prime is 68628023. The next prime is 68628061. The reversal of 68628040 is 4082686.

It is a junction number, because it is equal to n+sod(n) for n = 68627987 and 68628005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140677 + ... + 141163.

It is an arithmetic number, because the mean of its divisors is an integer number (2613240).

Almost surely, 268628040 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 68628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83623680).

68628040 is an abundant number, since it is smaller than the sum of its proper divisors (98619320).

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

68628040 is a wasteful number, since it uses less digits than its factorization.

68628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 68628040 is about 8284.2042466371. The cubic root of 68628040 is about 409.4182508933.

The spelling of 68628040 in words is "sixty-eight million, six hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 271 487 520 542 974 1084 1355 1948 2168 2435 2710 3523 3896 4870 5420 6331 7046 9740 10840 12662 14092 17615 19480 25324 28184 31655 35230 50648 63310 70460 126620 131977 140920 253240 263954 527908 659885 1055816 1319770 1715701 2639540 3431402 5279080 6862804 8578505 13725608 17157010 34314020 68628040