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68466240 = 2632523773
BaseRepresentation
bin1000001010010…
…11011001000000
311202211110000200
410011023121000
5120011404430
610443245200
71460645013
oct405133100
9152743020
1068466240
1135713777
121ab19800
131125268b
14914337a
156026460
hex414b640

68466240 has 84 divisors (see below), whose sum is σ = 235505244. Its totient is φ = 18256896.

The previous prime is 68466163. The next prime is 68466241. The reversal of 68466240 is 4266486.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 48108096 = 4512^2 + 6936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 68466195 and 68466204.

It is not an unprimeable number, because it can be changed into a prime (68466241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9007 + ... + 14766.

Almost surely, 268466240 is an apocalyptic number.

68466240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68466240 is an abundant number, since it is smaller than the sum of its proper divisors (167039004).

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

68466240 is a wasteful number, since it uses less digits than its factorization.

68466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 68466240 is about 8274.4329110822. The cubic root of 68466240 is about 409.0962445095.

The spelling of 68466240 in words is "sixty-eight million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 23773 47546 71319 95092 118865 142638 190184 213957 237730 285276 356595 380368 427914 475460 570552 713190 760736 855828 950920 1069785 1141104 1426380 1521472 1711656 1901840 2139570 2282208 2852760 3423312 3803680 4279140 4564416 5705520 6846624 7607360 8558280 11411040 13693248 17116560 22822080 34233120 68466240