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68659400 = 23522111627
BaseRepresentation
bin1000001011110…
…10100011001000
311210012020222202
410011322203020
5120034100100
610451335332
71462411115
oct405724310
9153166882
1068659400
1135835907
121abb1548
13112bc584
14919390c
1560637d5
hex417a8c8

68659400 has 48 divisors (see below), whose sum is σ = 160488240. Its totient is φ = 27316800.

The previous prime is 68659373. The next prime is 68659403. The reversal of 68659400 is 495686.

It is a super-2 number, since 2×686594002 = 9428226416720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68659403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41387 + ... + 43013.

It is an arithmetic number, because the mean of its divisors is an integer number (3343505).

Almost surely, 268659400 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 68659400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80244120).

68659400 is an abundant number, since it is smaller than the sum of its proper divisors (91828840).

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

68659400 is a wasteful number, since it uses less digits than its factorization.

68659400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 68659400 is about 8286.0967892006. The cubic root of 68659400 is about 409.4806034495.

The spelling of 68659400 in words is "sixty-eight million, six hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1627 1688 2110 3254 4220 5275 6508 8135 8440 10550 13016 16270 21100 32540 40675 42200 65080 81350 162700 325400 343297 686594 1373188 1716485 2746376 3432970 6865940 8582425 13731880 17164850 34329700 68659400