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68454180 = 223351091163
BaseRepresentation
bin1000001010010…
…00011100100100
311202210211111000
410011020130210
5120011013210
610443113300
71460564604
oct405103444
9152724430
1068454180
1135705703
121ab12830
131124a042
14913cc04
156022ac0
hex4148724

68454180 has 96 divisors (see below), whose sum is σ = 215107200. Its totient is φ = 18071424.

The previous prime is 68454163. The next prime is 68454203. The reversal of 68454180 is 8145486.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58279 + ... + 59441.

It is an arithmetic number, because the mean of its divisors is an integer number (2240700).

Almost surely, 268454180 is an apocalyptic number.

68454180 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 68454180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107553600).

68454180 is an abundant number, since it is smaller than the sum of its proper divisors (146653020).

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

68454180 is a wasteful number, since it uses less digits than its factorization.

68454180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68454180 is about 8273.7041281399. The cubic root of 68454180 is about 409.0722229849.

It can be divided in two parts, 6845 and 4180, that added together give a square (11025 = 1052).

The spelling of 68454180 in words is "sixty-eight million, four hundred fifty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1163 1308 1635 1962 2180 2326 2943 3270 3489 3924 4652 4905 5815 5886 6540 6978 9810 10467 11630 11772 13956 14715 17445 19620 20934 23260 29430 31401 34890 41868 52335 58860 62802 69780 104670 125604 126767 157005 209340 253534 314010 380301 507068 628020 633835 760602 1140903 1267670 1521204 1901505 2281806 2535340 3422709 3803010 4563612 5704515 6845418 7606020 11409030 13690836 17113545 22818060 34227090 68454180