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68362240 = 21351669
BaseRepresentation
bin1000001001100…
…10000000000000
311202122011100211
410010302000000
5120000042430
610441123504
71460032552
oct404620000
9152564324
1068362240
1135652621
121aa89594
131121723b
1491174d2
15600572a
hex4132000

68362240 has 56 divisors (see below), whose sum is σ = 164157660. Its totient is φ = 27328512.

The previous prime is 68362201. The next prime is 68362241. The reversal of 68362240 is 4226386.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 200704 = 8256^2 + 448^2 .

It is not an unprimeable number, because it can be changed into a prime (68362241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40126 + ... + 41794.

Almost surely, 268362240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82078830).

68362240 is an abundant number, since it is smaller than the sum of its proper divisors (95795420).

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

68362240 is an equidigital number, since it uses as much as digits as its factorization.

68362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 68362240 is about 8268.1461041760. The cubic root of 68362240 is about 408.8890009101.

The spelling of 68362240 in words is "sixty-eight million, three hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1669 2048 2560 3338 4096 5120 6676 8192 8345 10240 13352 16690 20480 26704 33380 40960 53408 66760 106816 133520 213632 267040 427264 534080 854528 1068160 1709056 2136320 3418112 4272640 6836224 8545280 13672448 17090560 34181120 68362240