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68654040 = 23357136287
BaseRepresentation
bin1000001011110…
…01001111011000
311210011222122020
410011321033120
5120033412130
610451254440
71462356360
oct405711730
9153158566
1068654040
1135831884
121abaa420
13112b9cc0
1491919a0
156061e10
hex41793d8

68654040 has 128 divisors (see below), whose sum is σ = 253532160. Its totient is φ = 14482944.

The previous prime is 68654039. The next prime is 68654051. The reversal of 68654040 is 4045686.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 68653992 and 68654010.

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 31 ways as a sum of consecutive naturals, for example, 7777 + ... + 14063.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 268654040 is an apocalyptic number.

68654040 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 68654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126766080).

68654040 is an abundant number, since it is smaller than the sum of its proper divisors (184878120).

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

68654040 is a wasteful number, since it uses less digits than its factorization.

68654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 68654040 is about 8285.7733495432. The cubic root of 68654040 is about 409.4699475979.

The spelling of 68654040 in words is "sixty-eight million, six hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 6287 10920 12574 18861 25148 31435 37722 44009 50296 62870 75444 81731 88018 94305 125740 132027 150888 163462 176036 188610 220045 245193 251480 264054 326924 352072 377220 408655 440090 490386 528108 572117 653848 660135 754440 817310 880180 980772 1056216 1144234 1225965 1320270 1634620 1716351 1760360 1961544 2288468 2451930 2640540 2860585 3269240 3432702 4576936 4903860 5281080 5721170 6865404 8581755 9807720 11442340 13730808 17163510 22884680 34327020 68654040