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68226480 = 24325713537
BaseRepresentation
bin1000001000100…
…00110110110000
311202101021010200
410010100312300
5114431221410
610434155200
71455626010
oct404206660
9152337120
1068226480
113556a623
121aa22b00
131119a4ca
1490bdc40
155eca3c0
hex4110db0

68226480 has 120 divisors (see below), whose sum is σ = 261879072. Its totient is φ = 15593472.

The previous prime is 68226467. The next prime is 68226493. The reversal of 68226480 is 8462286.

68226480 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68226467) and next prime (68226493).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729 + ... + 11808.

Almost surely, 268226480 is an apocalyptic number.

68226480 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 68226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130939536).

68226480 is an abundant number, since it is smaller than the sum of its proper divisors (193652592).

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

68226480 is a wasteful number, since it uses less digits than its factorization.

68226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68226480 is about 8259.9322031116. The cubic root of 68226480 is about 408.6181517909.

The spelling of 68226480 in words is "sixty-eight million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13537 27074 40611 54148 67685 81222 94759 108296 121833 135370 162444 189518 203055 216592 243666 270740 284277 324888 379036 406110 473795 487332 541480 568554 609165 649776 758072 812220 852831 947590 974664 1082960 1137108 1218330 1421385 1516144 1624440 1705662 1895180 1949328 2274216 2436660 2842770 3248880 3411324 3790360 4264155 4548432 4873320 5685540 6822648 7580720 8528310 9746640 11371080 13645296 17056620 22742160 34113240 68226480