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68366540 = 225111911627
BaseRepresentation
bin1000001001100…
…11000011001100
311202122101021002
410010303003030
5120000212130
610441155432
71460051234
oct404630314
9152571232
1068366540
1135655880
121aa8bb78
1311219198
149118cc4
156006b45
hex41330cc

68366540 has 48 divisors (see below), whose sum is σ = 157538304. Its totient is φ = 24715200.

The previous prime is 68366533. The next prime is 68366561. The reversal of 68366540 is 4566386.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68366494 and 68366503.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41207 + ... + 42833.

It is an arithmetic number, because the mean of its divisors is an integer number (3282048).

Almost surely, 268366540 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 68366540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78769152).

68366540 is an abundant number, since it is smaller than the sum of its proper divisors (89171764).

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

68366540 is a wasteful number, since it uses less digits than its factorization.

68366540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 68366540 is about 8268.4061341954. The cubic root of 68366540 is about 408.8975737999.

The spelling of 68366540 in words is "sixty-eight million, three hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1627 1910 2101 3254 3820 4202 6508 8135 8404 10505 16270 17897 21010 32540 35794 42020 71588 89485 178970 310757 357940 621514 1243028 1553785 3107570 3418327 6215140 6836654 13673308 17091635 34183270 68366540