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68579460 = 22355103137
BaseRepresentation
bin1000001011001…
…11000010000100
311210001012100000
410011213002010
5120024020320
610445521300
71461626055
oct405470204
9153035300
1068579460
1135790844
121ab73230
1311292081
14917272c
156049c90
hex4167084

68579460 has 144 divisors (see below), whose sum is σ = 219413376. Its totient is φ = 17978112.

The previous prime is 68579419. The next prime is 68579473. The reversal of 68579460 is 6497586.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500512 + ... + 500648.

It is an arithmetic number, because the mean of its divisors is an integer number (1523704).

Almost surely, 268579460 is an apocalyptic number.

68579460 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 68579460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109706688).

68579460 is an abundant number, since it is smaller than the sum of its proper divisors (150833916).

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

68579460 is a wasteful number, since it uses less digits than its factorization.

68579460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68579460 is about 8281.2716414812. The cubic root of 68579460 is about 409.3216225882.

The spelling of 68579460 in words is "sixty-eight million, five hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 137 162 180 206 243 270 274 309 324 405 411 412 486 515 540 548 618 685 810 822 927 972 1030 1215 1233 1236 1370 1545 1620 1644 1854 2055 2060 2430 2466 2740 2781 3090 3699 3708 4110 4635 4860 4932 5562 6165 6180 7398 8220 8343 9270 11097 11124 12330 13905 14111 14796 16686 18495 18540 22194 24660 25029 27810 28222 33291 33372 36990 41715 42333 44388 50058 55485 55620 56444 66582 70555 73980 83430 84666 100116 110970 125145 126999 133164 141110 166455 166860 169332 211665 221940 250290 253998 282220 332910 380997 423330 500580 507996 634995 665820 761994 846660 1142991 1269990 1523988 1904985 2285982 2539980 3428973 3809970 4571964 5714955 6857946 7619940 11429910 13715892 17144865 22859820 34289730 68579460