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68145408 = 28339859
BaseRepresentation
bin1000000111111…
…01000100000000
311202020010221000
410003331010000
5114421123113
610432332000
71455140442
oct403750400
9152203830
1068145408
1135514721
121a9a4000
131116c636
14909c492
155eb1373
hex40fd100

68145408 has 72 divisors (see below), whose sum is σ = 201538400. Its totient is φ = 22712832.

The previous prime is 68145377. The next prime is 68145433. The reversal of 68145408 is 80454186.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983 + ... + 11841.

Almost surely, 268145408 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 68145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100769200).

68145408 is an abundant number, since it is smaller than the sum of its proper divisors (133392992).

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

68145408 is an equidigital number, since it uses as much as digits as its factorization.

68145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68145408 is about 8255.0231980292. The cubic root of 68145408 is about 408.4562370376.

The spelling of 68145408 in words is "sixty-eight million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 9859 19718 29577 39436 59154 78872 88731 118308 157744 177462 236616 266193 315488 354924 473232 532386 630976 709848 946464 1064772 1261952 1419696 1892928 2129544 2523904 2839392 3785856 4259088 5678784 7571712 8518176 11357568 17036352 22715136 34072704 68145408