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68578740 = 223251492557
BaseRepresentation
bin1000001011001…
…10110110110100
311210001011100100
410011212312310
5120024004430
610445514100
71461624006
oct405466664
9153034310
1068578740
113579024a
121ab72930
1311291949
149172376
156049960
hex4166db4

68578740 has 72 divisors (see below), whose sum is σ = 209500200. Its totient is φ = 18157824.

The previous prime is 68578729. The next prime is 68578751. The reversal of 68578740 is 4787586.

68578740 is a `hidden beast` number, since 6 + 8 + 578 + 74 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68578729) and next prime (68578751).

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 68260644 = 564^2 + 8262^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 25542 + ... + 28098.

It is an arithmetic number, because the mean of its divisors is an integer number (2909725).

Almost surely, 268578740 is an apocalyptic number.

68578740 is a gapful number since it is divisible by the number (60) 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 68578740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104750100).

68578740 is an abundant number, since it is smaller than the sum of its proper divisors (140921460).

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

68578740 is a wasteful number, since it uses less digits than its factorization.

68578740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 68578740 is about 8281.2281697825. The cubic root of 68578740 is about 409.3201901253.

The spelling of 68578740 in words is "sixty-eight million, five hundred seventy-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2557 2682 2980 4470 5114 5364 6705 7671 8940 10228 12785 13410 15342 23013 25570 26820 30684 38355 46026 51140 76710 92052 115065 153420 230130 380993 460260 761986 1142979 1523972 1904965 2285958 3428937 3809930 4571916 5714895 6857874 7619860 11429790 13715748 17144685 22859580 34289370 68578740