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68148180 = 22325378601
BaseRepresentation
bin1000000111111…
…01101111010100
311202020021201200
410003331233110
5114421220210
610432352500
71455151512
oct403755724
9152207650
1068148180
1135516811
121a9a5730
1311170989
14909d4b2
155eb20c0
hex40fdbd4

68148180 has 36 divisors (see below), whose sum is σ = 206716692. Its totient is φ = 18172800.

The previous prime is 68148169. The next prime is 68148187. The reversal of 68148180 is 8184186.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 53494596 = 3828^2 + 7314^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68148187) 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, 189121 + ... + 189480.

Almost surely, 268148180 is an apocalyptic number.

68148180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68148180 is an abundant number, since it is smaller than the sum of its proper divisors (138568512).

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

68148180 is a wasteful number, since it uses less digits than its factorization.

68148180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378616 (or 378611 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68148180 is about 8255.1910940935. The cubic root of 68148180 is about 408.4617753190.

The spelling of 68148180 in words is "sixty-eight million, one hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 378601 757202 1135803 1514404 1893005 2271606 3407409 3786010 4543212 5679015 6814818 7572020 11358030 13629636 17037045 22716060 34074090 68148180