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68851080 = 23335371723
BaseRepresentation
bin1000001101010…
…01010110001000
311210112222221000
410012221112020
5120111213310
610455415000
71464140004
oct406512610
9153488830
1068851080
1135956921
121b084460
13113588ac
149203704
1560a04c0
hex41a9588

68851080 has 128 divisors (see below), whose sum is σ = 235843200. Its totient is φ = 17853696.

The previous prime is 68851067. The next prime is 68851087. The reversal of 68851080 is 8015886.

68851080 is a `hidden beast` number, since 68 + 8 + 510 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (68851087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39099 + ... + 40821.

It is an arithmetic number, because the mean of its divisors is an integer number (1842525).

Almost surely, 268851080 is an apocalyptic number.

68851080 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 68851080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921600).

68851080 is an abundant number, since it is smaller than the sum of its proper divisors (166992120).

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

68851080 is a wasteful number, since it uses less digits than its factorization.

68851080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 68851080 is about 8297.6550904457. The cubic root of 68851080 is about 409.8613054574.

The spelling of 68851080 in words is "sixty-eight million, eight hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1723 1998 2220 2664 3330 3446 3996 4440 4995 5169 6660 6892 7992 8615 9990 10338 13320 13784 15507 17230 19980 20676 25845 31014 34460 39960 41352 46521 51690 62028 63751 68920 77535 93042 103380 124056 127502 155070 186084 191253 206760 232605 255004 310140 318755 372168 382506 465210 510008 573759 620280 637510 765012 930420 956265 1147518 1275020 1530024 1721277 1860840 1912530 2295036 2550040 2868795 3442554 3825060 4590072 5737590 6885108 7650120 8606385 11475180 13770216 17212770 22950360 34425540 68851080